McGraw Hill Math

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 9.1 Place Value and Rounding existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 9.1 Place Value and Rounding

Exercises Round

Round to the nearest whole number.

Question 1.
14.37
Answer:
14
Explanation:
Observe the digit in the tenth place which is less than 5,
Round to the whole number given.
So, 14.37 is round to the nearest whole number as 14.

Question 2.
77.4
Answer:
77
Explanation:
Observe the digit in the tenth place  which is less than 5,
Round to the whole number given.
So, 77.4 is round to the nearest whole number as 77.

Question 3.
145.6
Answer:
146
Explanation:
Observe the digit in the tenth place  which is greater than 5,
Add one to the given whole number.
So, 145.6 is round to the nearest whole number as 146.

Question 4.
1000.9
Answer:
1001
Explanation:
Observe the digit in the tenth place  which is greater than 5,
Add one to the given whole number.
So, 1000.9 is round to the nearest whole number as 1001.

Question 5.
89.4
Answer:
89
Explanation:
Observe the digit in the tenth place  which is less than 5,
Round to the whole number given.
So, 89.4 is round to the nearest whole number as 89.

Question 6.
1501.1
Answer:
1501
Explanation:
Observe the digit in the tenth place  which is less than 5,
Round to the whole number given.
So, 1501.1 is round to the nearest whole number as 1501.

Round to the nearest tenth.

Question 7.
14.37
Answer:
14.4
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 14.37 is round to the nearest tenth place is 14.4

Question 8.
125.51
Answer:
125.5
Explanation:
Observe the digit to the right of the rounding place,
if the digit is less than 5 keep the digit in the rounding place.
So, 125 is round to the nearest tenth as 125.51.

Question 9.
149.49
Answer:
149.5
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 149.49 is round to the nearest tenth as 149.5.

Question 10.
33.35
Answer:
33.4
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 33.35 is round to the nearest tenth as 33.4.

Question 11.
275.77
Answer:
275.8
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 275.77 is round to the nearest tenth as 275.8.

Question 12.
212.99
Answer:
213
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 212.99 is round to the nearest tenth as 213.

Round to the nearest hundredth.

Question 13.
1435.344
Answer:
1435.34
Explanation:
Observe the digit to the right of the rounding place,
if the digit is less than 5 keep the digit in the rounding place.
So, 1435.344 is round to the nearest hundredth as 1435.34.

Question 14.
3.555
Answer:
3.56
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 3.555 is round to the nearest hundredth as 3.56.

Question 15.
111.119
Answer:
111.12
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 111.119 is round to the nearest hundredth as 111.12.

Question 16.
32.756
Answer:
32.76
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 32.756 is round to the nearest hundredth as 32.76.

Question 17.
999.989
Answer:
999.99
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 999.989 is round to the nearest hundredth as 999.99.

Question 18.
954.376
Answer:
954.38
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 954.376 is round to the nearest hundredth as 954.38.

Round to the nearest thousandth.

Question 19.
3.2378
Answer:
3.238
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 3.2378 is round to the nearest thousandth as 3.238.

Question 20.
329.3297
Answer:
329.330
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 329.3297 is round to the nearest thousandth as 329.330.

Question 21.
109.1090
Answer:
109.109
Explanation:
Observe the digit to the right of the rounding place,
if the digit is less than 5 keep to the digit in the rounding place.
So, 109.1090 is round to the nearest thousandth as 109.109.

Question 22.
8256.7835
Answer:
8256.784
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 8256.7835 is round to the nearest thousandth as 8256.784.

Question 23.
49.4949
Answer:
49.495
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 49.4949 is round to the nearest thousandth as 49.495.

Question 24.
0.1138
Answer:
0.114
Explanation:
Observe the digit to the right of the rounding place,
if the digit is greater than 5 add 1 to the digit in the rounding place.
So, 0.114 is round to the nearest thousandth as 0.114.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 8.4 Dividing Mixed Numbers existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 8.4 Dividing Mixed Numbers

Exercises Divide

Question 1.
1\(\frac{1}{3}\) ÷ -2\(\frac{1}{2}\)
Answer:
–\(\frac{8}{15}\)
Explanation:
1\(\frac{1}{3}\) ÷ -2\(\frac{1}{2}\)
Convert mixed fraction into improper fraction.
\(\frac{4}{3}\) ÷ –\(\frac{5}{2}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{4}{3}\) x –\(\frac{2}{5}\)
Multiply the numerators and denominators,
4 x 2= 8
3 x 5 = 15
place the numerator over denominator,
–\(\frac{8}{15}\)

Question 2.
3\(\frac{3}{5}\) ÷ 1\(\frac{1}{8}\)
Answer:
3\(\frac{1}{5}\)
Explanation:
3\(\frac{3}{5}\) ÷ 1\(\frac{1}{8}\)
Convert mixed fraction into improper fraction.
\(\frac{18}{5}\) ÷ \(\frac{9}{8}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{18}{5}\) x \(\frac{8}{9}\)
Multiply the numerators and denominators,
18 x 8 = 2 x 8 = 16
5 x 9 = 5 = 5
place the numerator over denominator,
\(\frac{16}{5}\)
Reduce to the simplest form,
3\(\frac{1}{5}\)

Question 3.
7\(\frac{1}{7}\) ÷ 3\(\frac{1}{3}\)
Answer:
2\(\frac{1}{7}\)
Explanation:
7\(\frac{1}{7}\) ÷ 3\(\frac{1}{3}\)
Convert mixed fraction into improper fraction.
\(\frac{50}{7}\) ÷ \(\frac{10}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{50}{7}\) x \(\frac{3}{10}\)
Multiply the numerators and denominators,
50 x 3 = 5 x 3 = 15
7 x 10 = 7 = 7
place the numerator over denominator,
\(\frac{15}{7}\)
Reduce to the simplest form,
2\(\frac{1}{7}\)

Question 4.
3\(\frac{4}{7}\) ÷ 2\(\frac{2}{5}\)
Answer:
1\(\frac{41}{84}\)
Explanation:
3\(\frac{4}{7}\) ÷ 2\(\frac{2}{5}\)
Convert mixed fraction into improper fraction.
\(\frac{25}{7}\) ÷ \(\frac{12}{5}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{25}{7}\) x \(\frac{5}{12}\)
Multiply the numerators and denominators,
25 x 5 = 125
7 x 12 = 84
place the numerator over denominator,
\(\frac{125}{84}\)
Reduce to the simplest form,
1\(\frac{41}{84}\)

Question 5.
6\(\frac{4}{5}\) ÷ 3\(\frac{2}{5}\)
Answer:
2
Explanation:
6\(\frac{4}{5}\) ÷ 3\(\frac{2}{5}\)
Convert mixed fraction into improper fraction.
\(\frac{34}{5}\) ÷ \(\frac{17}{5}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{34}{5}\) x \(\frac{5}{17}\)
Multiply the numerators and denominators,
34 x 5 = 2
5 x 17 = 1
place the numerator over denominator,
= \(\frac{2}{1}\) = 2

Question 6.
5\(\frac{1}{2}\) ÷ 3\(\frac{3}{4}\)
Answer:
1\(\frac{7}{15}\)
Explanation:
5\(\frac{1}{2}\) ÷ 3\(\frac{3}{4}\)
Convert mixed fraction into improper fraction.
\(\frac{11}{2}\) ÷ \(\frac{15}{4}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{11}{2}\) x \(\frac{4}{15}\)
Multiply the numerators and denominators,
11 x 4 = 11 x 2 = 22
2 x 15 = 15
place the numerator over denominator,
\(\frac{22}{15}\)
Reduce to the simplest form,
1\(\frac{7}{15}\)

Question 7.
4\(\frac{2}{9}\) ÷ 2\(\frac{4}{9}\)
Answer:
1\(\frac{8}{11}\)
Explanation:
4\(\frac{2}{9}\) ÷ 2\(\frac{4}{9}\)
Convert mixed fraction into improper fraction.
\(\frac{38}{9}\) ÷ \(\frac{22}{9}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{38}{9}\) x \(\frac{9}{22}\)
Multiply the numerators and denominators,
38 x 9 = 19
9 x 22 = 11
place the numerator over denominator,
\(\frac{19}{11}\)
Reduce to the simplest form,
1\(\frac{8}{11}\)

Question 8.
-9\(\frac{2}{7}\) ÷ -2\(\frac{1}{2}\)
Answer:
3\(\frac{5}{7}\)
Explanation:
-9\(\frac{2}{7}\) ÷ -2\(\frac{1}{2}\)
let – in numerator and – inn denominator get cancelled
Convert mixed fraction into improper fraction.
\(\frac{65}{7}\) ÷ \(\frac{5}{2}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{65}{7}\) x \(\frac{2}{5}\)
Multiply the numerators and denominators,
65 x 2 = 13 x 2 = 26
7 x 5 = 7
place the numerator over denominator,
\(\frac{26}{7}\)
Reduce to the simplest form,
3\(\frac{5}{7}\)

Question 9.
5\(\frac{6}{17}\) ÷ 2\(\frac{2}{3}\)
Answer:
2\(\frac{1}{136}\)
Explanation:
5\(\frac{6}{17}\) ÷ 2\(\frac{2}{3}\)
Convert mixed fraction into improper fraction.
\(\frac{91}{17}\) ÷ \(\frac{8}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{91}{17}\) x \(\frac{3}{8}\)
Multiply the numerators and denominators,
91 x 3 = 273
17 x 8 = 136
place the numerator over denominator,
\(\frac{273}{136}\)
Reduce to the simplest form,
2\(\frac{1}{136}\)

Question 10.
5\(\frac{3}{13}\) ÷ 2\(\frac{3}{4}\)
Answer:
1\(\frac{129}{143}\)
Explanation:
5\(\frac{3}{13}\) ÷ 2\(\frac{3}{4}\)
Convert mixed fraction into improper fraction.
\(\frac{68}{13}\) ÷ \(\frac{11}{4}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{68}{13}\) x \(\frac{4}{11}\)
Multiply the numerators and denominators,
68 x 4 = 272
13 x 11 = 143
place the numerator over denominator,
\(\frac{272}{143}\)
Reduce to the simplest form,
1\(\frac{129}{143}\)

Question 11.
1\(\frac{3}{4}\) ÷ -4\(\frac{3}{5}\)
Answer:
–\(\frac{35}{92}\)
Explanation:
1\(\frac{3}{4}\) ÷ -4\(\frac{3}{5}\)
Convert mixed fraction into improper fraction.
\(\frac{7}{4}\) ÷ \(\frac{23}{5}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{7}{4}\) x \(\frac{5}{23}\)
Multiply the numerators and denominators,
7 x 5 = 35
4 x 23 = 92
place the numerator over denominator,
– \(\frac{35}{92}\)

Question 12.
9\(\frac{3}{8}\) ÷ 1\(\frac{1}{4}\)
Answer:
7\(\frac{1}{2}\)
Explanation:
9\(\frac{3}{8}\) ÷ 1\(\frac{1}{4}\)
Convert mixed fraction into improper fraction.
\(\frac{75}{8}\) ÷ \(\frac{5}{4}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{75}{8}\) x \(\frac{4}{5}\)
Multiply the numerators and denominators,
75 x 4 = 15
8 x 5 = 2
place the numerator over denominator,
\(\frac{15}{2}\)
Reduce to the simplest form,
7\(\frac{1}{2}\)

Question 13.
-44\(\frac{4}{5}\) ÷ -4\(\frac{1}{2}\)
Answer:
9\(\frac{43}{45}\)
Explanation:
-44\(\frac{4}{5}\) ÷ -4\(\frac{1}{2}\)
Convert mixed fraction into improper fraction.
\(\frac{224}{5}\) ÷ \(\frac{9}{2}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{224}{5}\) x \(\frac{2}{9}\)
Multiply the numerators and denominators,
224 x 2 = 448
5 x 9 = 45
place the numerator over denominator,
\(\frac{448}{45}\)
Reduce to the simplest form,
9\(\frac{43}{45}\)

Question 14.
1\(\frac{1}{2}\) ÷ 3\(\frac{1}{2}\)
Answer:
1\(\frac{129}{143}\)
Explanation:
1\(\frac{1}{2}\) ÷ 3\(\frac{1}{2}\)
Convert mixed fraction into improper fraction.
\(\frac{3}{2}\) ÷ \(\frac{7}{2}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{2}\) x \(\frac{2}{7}\)
Multiply the numerators and denominators,
3 x 2 = 3
2 x 7 = 7
place the numerator over denominator,
\(\frac{3}{7}\)

Question 15.
5\(\frac{3}{5}\) ÷ 1\(\frac{1}{3}\)
Answer:
4\(\frac{1}{5}\)
Explanation:
5\(\frac{3}{5}\) ÷ 1\(\frac{1}{3}\)
Convert mixed fraction into improper fraction.
\(\frac{28}{5}\) ÷ \(\frac{4}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{28}{5}\) x \(\frac{3}{4}\)
Multiply the numerators and denominators,
28 x 3 = 7 x 3 = 21
5 x 4 = 5
place the numerator over denominator,
\(\frac{21}{5}\)
Reduce to the simplest form,
4\(\frac{1}{5}\)

Question 16.
1\(\frac{2}{11}\) ÷ 3\(\frac{1}{3}\)
Answer:
\(\frac{39}{110}\)
Explanation:
1\(\frac{2}{11}\) ÷ 3\(\frac{1}{3}\)
Convert mixed fraction into improper fraction.
\(\frac{13}{11}\) ÷ \(\frac{10}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{13}{11}\) x \(\frac{3}{10}\)
Multiply the numerators and denominators,
13 x 3 = 39
11 x 10 = 110
place the numerator over denominator,
\(\frac{39}{110}\)

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 8.3 Dividing Fractions by Fractions existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 8.3 Dividing Fractions by Fractions

Exercises Divide

Question 1.
\(\frac{5}{7}\) ÷ \(\frac{3}{4}\)
Answer:
\(\frac{20}{21}\)
Explanation:
\(\frac{5}{7}\) ÷ \(\frac{3}{4}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{5}{7}\) x \(\frac{4}{3}\)
Multiply the numerators and denominators,
4 x 5 = 20
3 x 7 = 21
place the numerator over denominator,
\(\frac{20}{21}\)

Question 2.
\(\frac{2}{3}\) ÷ \(\frac{2}{7}\)
Answer:
2\(\frac{1}{3}\)
Explanation:
\(\frac{2}{3}\) ÷ \(\frac{2}{7}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{2}{3}\) x \(\frac{7}{2}\)
Multiply the numerators and denominators,
2 x 7 = 14
3 x 2 = 6
place the numerator over denominator,
\(\frac{14}{6}\)
Reduce to the simplest form,
\(\frac{7}{3}\) = 2\(\frac{1}{3}\)

Question 3.
\(\frac{1}{9}\) ÷ –\(\frac{3}{7}\)
Answer:-
–\(\frac{7}{27}\)
Explanation:
\(\frac{1}{9}\) ÷ –\(\frac{3}{7}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{1}{9}\) x –\(\frac{7}{3}\)
Multiply the numerators and denominators,
1 x 7 = 7
3 x 9 = 27
place the numerator over denominator,
–\(\frac{7}{27}\)

Question 4.
\(\frac{3}{4}\) ÷ \(\frac{1}{9}\)
Answer:
6\(\frac{3}{4}\)
Explanation:
\(\frac{3}{4}\) ÷ \(\frac{1}{9}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3 X 9}{4}\)
\(\frac{27}{4}\)
Reduce to the simplest form,
6\(\frac{3}{4}\)

Question 5.
–\(\frac{3}{13}\) ÷ –\(\frac{2}{9}\)
Answer:
1\(\frac{1}{26}\)
Explanation:
–\(\frac{3}{13}\) ÷ –\(\frac{2}{9}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{13}\) x \(\frac{9}{2}\)
Multiply the numerators and denominators,
3 x 9 = 27
13 x 2 = 26
place the numerator over denominator,
\(\frac{27}{26}\)
Reduce to the simplest form,
1\(\frac{1}{26}\)

Question 6.
\(\frac{1}{9}\) ÷ \(\frac{1}{3}\)
Answer:
\(\frac{1}{3}\)
Explanation:
\(\frac{1}{9}\) ÷ \(\frac{1}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{1 X 3}{9}\)
\(\frac{1}{3}\)

Question 7.
\(\frac{2}{13}\) ÷ \(\frac{1}{5}\)
Answer:
\(\frac{10}{13}\)
Explanation:
\(\frac{2}{13}\) ÷ \(\frac{1}{5}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{2 X 5}{13}\)
\(\frac{10}{13}\)

Question 8.
\(\frac{3}{13}\) ÷ \(\frac{2}{13}\)
Answer:
1\(\frac{1}{2}\)
Explanation:
\(\frac{3}{13}\) ÷ \(\frac{2}{13}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{13}\) x \(\frac{13}{2}\)
Multiply the numerators and denominators,
3 x 13 = 39
13 x 2 = 26
place the numerator over denominator,
\(\frac{39}{26}\)
Reduce to the simplest form,
\(\frac{3}{2}\) = 1\(\frac{1}{2}\)

Question 9.
\(\frac{4}{3}\) ÷ \(\frac{1}{4}\)
Answer:
5\(\frac{1}{3}\)
Explanation:
\(\frac{4}{3}\) ÷ \(\frac{1}{4}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{4 X 4}{3}\)
\(\frac{16}{3}\)
Reduce to the simplest form,
5\(\frac{1}{3}\)

Question 10.
\(\frac{15}{4}\) ÷ \(\frac{4}{3}\)
Answer:
2\(\frac{13}{16}\)
Explanation:
\(\frac{15}{4}\) ÷ \(\frac{4}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{15}{4}\) x \(\frac{3}{4}\)
Multiply the numerators and denominators,
15 x 3 = 45
4 x 4 = 16
place the numerator over denominator,
\(\frac{45}{16}\)
Reduce to the simplest form,
2\(\frac{13}{16}\)

Question 11.
\(\frac{6}{7}\) ÷ \(\frac{1}{7}\)
Answer:
6
Explanation:
\(\frac{6}{7}\) ÷ \(\frac{1}{7}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{6 X 7}{7}\)
\(\frac{42}{7}\) = 6

Question 12.
\(\frac{3}{17}\) ÷ –\(\frac{4}{17}\)
Answer:
–\(\frac{3}{4}\)
Explanation:
\(\frac{3}{17}\) ÷ –\(\frac{4}{17}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{17}\) x –\(\frac{17}{4}\)
Multiply the numerators and denominators,
3 x 17 = 51
17 x 4 = 68
place the numerator over denominator,
–\(\frac{51}{68}\)
Reduce to the simplest form,
–\(\frac{3}{4}\)

Question 13.
\(\frac{1}{11}\) ÷ \(\frac{22}{3}\)
Answer:
\(\frac{3}{242}\)
Explanation:
\(\frac{1}{11}\) ÷ \(\frac{22}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{22 X11}\)
\(\frac{3}{242}\)

Question 14.
–\(\frac{3}{7}\) ÷ –\(\frac{1}{21}\)
Answer:
9
Explanation:
–\(\frac{3}{7}\) ÷ –\(\frac{1}{21}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3 X 21}{7}\)
\(\frac{63}{7}\) = 9

Question 15.
\(\frac{5}{14}\) ÷ \(\frac{1}{7}\)
Answer:
2\(\frac{1}{2}\)
Explanation:
\(\frac{5}{14}\) ÷ \(\frac{1}{7}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{5 X 7}{14}\)
\(\frac{35}{14}\)
Reduce to the simplest form,
\(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 16.
\(\frac{3}{4}\) ÷ \(\frac{8}{3}\)
Answer:
\(\frac{9}{32}\)
Explanation:
\(\frac{3}{4}\) ÷ \(\frac{8}{3}\)
Multiply the first fraction by the reciprocal of the second fraction,
\(\frac{3}{4}\) x \(\frac{3}{8}\)
Multiply the numerators and denominators,
3 x 3 = 9
4 x 8 = 32
place the numerator over denominator,
\(\frac{9}{32}\)

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 8.2 Dividing Whole Numbers by Fractions existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 8.2 Dividing Whole Numbers by Fractions

Exercises Multiply

Question 1.
5 ÷ \(\frac{1}{4}\)
Answer:
20
Explanation:
5 ÷ \(\frac{1}{4}\)
Multiply the whole number by reciprocal of fraction,
5 x 4 = 20

Question 2.
3 ÷ –\(\frac{4}{5}\)
Answer:
-3\(\frac{3}{4}\)
Explanation:
3 ÷ –\(\frac{4}{5}\)
Multiply the whole number by reciprocal of fraction,
5 x 3 = 15
–\(\frac{15}{4}\)
Reduce to the simplest form,
-3\(\frac{3}{4}\)

Question 3.
7 ÷ \(\frac{1}{7}\)
Answer:
49
Explanation:
7 ÷ \(\frac{1}{7}\)
Multiply the whole number by reciprocal of fraction,
7 x 7 = 49

Question 4.
9 ÷ \(\frac{4}{7}\)
Answer:
15\(\frac{3}{4}\)
Explanation:
9 ÷ \(\frac{4}{7}\)
Multiply the whole number by reciprocal of fraction,
9 x 7 = 63
\(\frac{63}{4}\)
Reduce to the simplest form,
15\(\frac{3}{4}\)

Question 5.
2 ÷ \(\frac{1}{2}\)
Answer:
4
Explanation:
2 ÷ \(\frac{1}{2}\)
Multiply the whole number by reciprocal of fraction,
2 x 2 = 4

Question 6.
4 ÷ \(\frac{2}{7}\)
Answer:
14
Explanation:
4 ÷ \(\frac{2}{7}\)
Multiply the whole number by reciprocal of fraction,
4 x 7 = 28
\(\frac{28}{2}\) = 14

Question 7.
15 ÷ \(\frac{5}{7}\)
Answer:
21
Explanation:
15 ÷ \(\frac{5}{7}\)
Multiply the whole number by reciprocal of fraction,
15 x 7 = 105
\(\frac{105}{5}\) = 21

Question 8.
4 ÷ –\(\frac{2}{9}\)
Answer:
-18
Explanation:
4 ÷ –\(\frac{2}{9}\)
Multiply the whole number by reciprocal of fraction,
9 x 4 = 36
–\(\frac{36}{2}\) = -18

Question 9.
17 ÷ –\(\frac{2}{3}\)
Answer:
-25\(\frac{1}{3}\)
Explanation:
17 ÷ –\(\frac{1}{3}\)
Multiply the whole number by reciprocal of fraction,
3 x 17 = 51
–\(\frac{51}{3}\)
Reduce to the simplest form,
-25\(\frac{1}{3}\)

Question 10.
5 ÷ \(\frac{3}{5}\)
Answer:
8\(\frac{1}{3}\)
Explanation:
5 ÷ \(\frac{3}{5}\)
Multiply the whole number by reciprocal of fraction,
5 x 5 = 25
\(\frac{25}{3}\)
Reduce to the simplest form,
8\(\frac{1}{3}\)

Question 11.
6 ÷ \(\frac{2}{3}\)
Answer:
9
Explanation:
6 ÷ \(\frac{2}{3}\)
Multiply the whole number by reciprocal of fraction,
6 x 3 = 18
\(\frac{18}{2}\) = 9

Question 12.
9 ÷ \(\frac{2}{3}\)
Answer:
13\(\frac{1}{2}\)
Explanation:
9 ÷ \(\frac{2}{3}\)
Multiply the whole number by reciprocal of fraction,
9 x 3 = 27
\(\frac{27}{2}\)
Reduce to the simplest form,
13\(\frac{1}{2}\)

Question 13.
5 ÷ \(\frac{1}{11}\)
Answer:
55
Explanation:
5 ÷ \(\frac{1}{11}\)
Multiply the whole number by reciprocal of fraction,
5 x 11 = 55

Question 14.
14 ÷ \(\frac{7}{2}\)
Answer:
4
Explanation:
14 ÷ \(\frac{7}{2}\)
Multiply the whole number by reciprocal of fraction,
14 x 2 = 28
\(\frac{28}{7}\) = 4

Question 15.
3 ÷ –\(\frac{1}{9}\)
Answer:
-27
Explanation:
3 ÷ –\(\frac{1}{9}\)
Multiply the whole number by reciprocal of fraction,
9 x 3 = 27

Question 16.
3 ÷ \(\frac{7}{2}\)
Answer:
\(\frac{6}{7}\)
Explanation:
3 ÷ \(\frac{7}{2}\)
Multiply the whole number by reciprocal of fraction,
3 x 2 = 6
\(\frac{6}{7}\)

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 8.1 Dividing Fractions by Whole Numbers existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 8.1 Dividing Fractions by Whole Numbers

Exercises Multiply

Question 1.
–\(\frac{1}{2}\) ÷ 4
Answer:
–\(\frac{1}{8}\)
Explanation:
–\(\frac{1}{2}\) ÷ 4
Multiply the whole number by denominator,
4 x 2 = 8
place the numerator over denominator,
–\(\frac{1}{8}\)

Question 2.
\(\frac{3}{5}\) ÷ 4
Answer:
\(\frac{3}{20}\)
Explanation:
\(\frac{3}{5}\) ÷ 4
Multiply the whole number by denominator,
4 x 5 = 20
place the numerator over denominator,
\(\frac{3}{20}\)

Question 3.
\(\frac{6}{7}\) ÷ 3
Answer:
\(\frac{2}{7}\)
Explanation:
\(\frac{6}{7}\) ÷ 3
Multiply the whole number by denominator,
7 x 3 = 21
place the numerator over denominator,
\(\frac{6}{21}\)
= \(\frac{2}{7}\)

Question 4.
\(\frac{1}{5}\) ÷ 11
Answer:
\(\frac{1}{55}\)
Explanation:
\(\frac{1}{5}\) ÷ 11
Multiply the whole number by denominator,
5 x 11 = 55
place the numerator over denominator,
\(\frac{1}{55}\)

Question 5.
\(\frac{5}{19}\) ÷ 2
Answer:
\(\frac{5}{38}\)
Explanation:
\(\frac{5}{19}\) ÷ 2
Multiply the whole number by denominator,
19 x 2 = 38
place the numerator over denominator,
\(\frac{5}{38}\)

Question 6.
–\(\frac{4}{5}\) ÷ 7
Answer:
–\(\frac{4}{35}\)
Explanation:
–\(\frac{4}{5}\) ÷ 7
Multiply the whole number by denominator,
7 x 5 = 35
place the numerator over denominator,
–\(\frac{4}{35}\)

Question 7.
\(\frac{1}{9}\) ÷ 9
Answer:
\(\frac{1}{81}\)
Explanation:
\(\frac{1}{8}\) ÷ 9
Multiply the whole number by denominator,
8 x 9 = 81
place the numerator over denominator,
\(\frac{1}{81}\)

Question 8.
\(\frac{3}{11}\) ÷ 12
Answer:
\(\frac{1}{44}\)
Explanation:
\(\frac{3}{11}\) ÷ 12
Multiply the whole number by denominator,
11 x 12 = 132
place the numerator over denominator,
\(\frac{3}{132}\)
= \(\frac{1}{44}\)

Question 9.
\(\frac{17}{18}\) ÷ 4
Answer:
\(\frac{17}{72}\)
Explanation:
\(\frac{17}{18}\) ÷ 4
Multiply the whole number by denominator,
18 x 4 = 72
place the numerator over denominator,
\(\frac{17}{72}\)

Question 10.
\(\frac{12}{13}\) ÷ 3
Answer:
\(\frac{4}{13}\)
Explanation:
\(\frac{12}{13}\) ÷ 3
Multiply the whole number by denominator,
13 x 3 = 39
place the numerator over denominator,
\(\frac{12}{39}\)
= \(\frac{4}{13}\)

Question 11.
\(\frac{2}{3}\) ÷ 6
Answer:
\(\frac{1}{9}\)
Explanation:
\(\frac{2}{3}\) ÷ 6
Multiply the whole number by denominator,
6 x 3 = 18
place the numerator over denominator,
\(\frac{2}{18}\)
= \(\frac{1}{9}\)

Question 12.
–\(\frac{5}{11}\) ÷ 20
Answer:
–\(\frac{1}{44}\)
Explanation:
–\(\frac{5}{11}\) ÷ 20
Multiply the whole number by denominator,
11 x 20 = 220
place the numerator over denominator,
–\(\frac{5}{220}\)
= –\(\frac{1}{44}\)

Question 13.
\(\frac{3}{7}\) ÷ 11
Answer:
\(\frac{3}{77}\)
Explanation:
\(\frac{3}{7}\) ÷ 11
Multiply the whole number by denominator,
7 x 11 = 77
place the numerator over denominator,
\(\frac{3}{77}\)

Question 14.
–\(\frac{1}{3}\) ÷ 9
Answer:
–\(\frac{1}{27}\)
Explanation:
–\(\frac{1}{3}\) ÷ 9
Multiply the whole number by denominator,
9 x 3 = 27
place the numerator over denominator,
–\(\frac{1}{27}\)

Question 15.
\(\frac{10}{11}\) ÷ 5
Answer:
\(\frac{2}{11}\)
Explanation:
\(\frac{10}{11}\) ÷ 5
Multiply the whole number by denominator,
11 x 5 = 55
place the numerator over denominator,
\(\frac{10}{55}\)
= \(\frac{2}{11}\)

Question 16.
\(\frac{10}{13}\) ÷ 4
Answer:
\(\frac{5}{26}\)
Explanation:
\(\frac{10}{13}\) ÷ 4
Multiply the whole number by denominator,
4 x 13 = 52
place the numerator over denominator,
\(\frac{10}{52}\)
= \(\frac{5}{26}\)

Question 17.
\(\frac{4}{5}\) ÷ 4
Answer:
\(\frac{1}{5}\)
Explanation:
\(\frac{4}{5}\) ÷ 4
Multiply the whole number by denominator,
5 x 4 = 20
place the numerator over denominator,
\(\frac{4}{20}\)
= \(\frac{1}{5}\)

Question 18.
\(\frac{12}{13}\) ÷ 5
Answer:
\(\frac{12}{65}\)
Explanation:
\(\frac{12}{13}\) ÷ 5
Multiply the whole number by denominator,
5 x 13 = 65
place the numerator over denominator,
\(\frac{12}{65}\)

Question 19.
–\(\frac{2}{11}\) ÷ 4
Answer:
–\(\frac{1}{22}\)
Explanation:
–\(\frac{2}{11}\) ÷ 4
Multiply the whole number by denominator,
11 x 4 = 44
place the numerator over denominator,
–\(\frac{2}{44}\)
= –\(\frac{1}{22}\)

Question 20.
\(\frac{3}{4}\) ÷ 7
Answer:
\(\frac{3}{28}\)
Explanation:
\(\frac{3}{4}\) ÷ 7
Multiply the whole number by denominator,
7 x 4 = 28
place the numerator over denominator,
\(\frac{3}{28}\)

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 15.7 Percent Markups and Markdowns existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 15.7 Percent Markups and Markdowns

Exercises

SOLVE

Question 1.
Valerie buys a book that costs $22.00, plus 8.25% sales tax. What does she pay for the book?
Answer:
Cost of the book = $22.00
Sales tax = 8.25%
Calculate the tax:
(8.25/100) x $22.00 = $1.82
Add the tax to the cost of the book.
$22.00 + $1.82 = $23.82
She pay $23.82 for the book.

Question 2.
Chris always tips his barber 30% for a haircut. If the haircut costs $25.00, how much will Chris leave for a trip?
Answer:
The cost of haircut is $25.00.
Chris always tips his barber 30% for a haircut.
(30/100) x $25.00 = $7.50
Chris leaves $7.50 for a tip.

Question 3.
There is a 4% line fee added to cell phone bills in Bellville. If Erlene’s bill before the fee is $56.80, what is her bill total after the fee is added?
Answer:
There is a 4% line fee added to cell phone bills in Bellville.
Erlene’s before the fee is $56.80.
(4/100) x $56.80 = $2.27
The line fee added to cell phone bills in Bellville is $2.27.
Add the line fee to Erlene’s bill before the fee.
$56.80 + $2.27 = $59.07
Erlene’s total bill is $59.07 after the fee is added.

Question 4.
Bob earns a base salary of $500 per week, plus 6% commission on all his sales. If he sold $3,240 this week, what will his salary be for this week?
Answer:
Bob earns a base salary of $500 per week, plus 6% commission on all his sales.
He sold $3,240 this week.
$3,240 x (6/100) = $194.40
Bob commission on all his sales is $194.40.
Add commission with base salary.
$500 + $194.40 = $694.40
Bob salary for this week is $694.40.

Question 5.
Last year, 32,500 people attended the county fair. This year, 45,800 people attended. What is the percent increase in attendance?
Answer:
Last year, 32,500 people attended the county fair.
This year, 45,800 people attended.
Find the difference between the two amounts.
45,800 – 32,500 = 13,300 people
Percentage increase in attendance = (Difference between the amounts)/(original amounts) x 100
= (13,300/32,500) x 100
= 40.92%
= 41%
The percentage increase in attendance is equal to 41%.

Question 6.
Elba missed 7 out of 60 questions on a test. What percent did she get correct?
Answer:
Elba missed 7 out of 60 questions on a test.
Find the difference between the two amounts.
60 – 7 = 53 questions
Percentage = (Difference between the amounts)/(original amounts) x 100
= (53/60) x 100
= 88.33%
= 88%
88% percentage did she get correct.

Question 7.
A store is having a 15% off sale. What is the new price of a table that originally cost $200?
Answer:
A store is having a 15% off sale.
The original cost is $200.
Multiply the percentage off by the price.
$200 x (15/100) = $30
Subtract the sale off price from original price.
$200 – $30 = $170
The new price of a table is $170.

Question 8.
A dress that was originally $89 is marked down to $75. By what percent was the price decreased?
Answer:
A dress that was originally $89 is marked down to $75.
The difference between the two amounts.
$89 – $75 = $14
Percentage = (Difference between the amounts)/(original amounts) x 100
= ($14/$89) x 100
= 15.73%
= 16%
The price was decreased by16% percentage.

Question 9.
Only 12 people can ride a trolley at one time. This is 20% of the people waiting to ride. How many people are waiting to ride?
Answer:
Only 12 people can ride a trolley at one time.
20% of the people waiting to ride.
20% x r = 12
r = 12 x (100/20)
r = 60 people
60 people are waiting to ride a trolley.

Question 10.
Jack received $40 from his aunt for his birthday. He wants to buy a video game for $27.99, a hat for $7.99, and a candy bar for $.50. Sales tax is 8.5%. What would the total be for his purchases? Will he have enough money?
Answer:
First find the total before the tax.
$27.99 + $7.99 + $0.50 = $36.48
Second calculate the tax.
(8.5/100) x $36.48 = $3.1
Third add the tax to the total.
$36.48 + $3.1 = $39.58
The total for Jack purchases is $39.58.
Yes, Jack have enough money.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 15.6 Simple Interest for More or Less than One Year existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 15.6 Simple Interest for More or Less than One Year

Exercises

SOLVE

Round all answers to the nearest cent.

Question 1.
How much simple interest would you earn if you had $10,000 and you were being paid 5% for 15 months?
Answer:
Principal = $10,000
Rate of interest = 5% = 5/100
15 months = 12 months + 3 months = 1 1/4
Total number of years = 5/4
Simple interest = Principal x Rate of interest x Years
= $10,000 x (5/100) x (5/4)
= $625
I will earn simple interest $625.

Question 2.
If you invest $5,600 for 18 months at a simple interest rate of 7%, how much would you earn?
Answer:
Principal = $5,600
Rate of interest = 7% = 7/100
18 months = 12 months + 6 months = 1 1/2
Total number of years = 3/2
Simple interest = Principal x Rate of interest x Years
= $5,600 x (7/100) x (3/2)
= $588
I will earn simple interest $588.

Question 3.
What would be the total amount that you would have after 7 months if you started with $2,700 and were paid simple interest of 5.5%?
Answer:
Principal = $2,700
Rate of interest = 5.5% = 5.5/100
7 months = 7/12
Total number of years = 7/12
Simple interest = Principal x Rate of interest x Years
= $2,700 x (5.5/100) x (7/12)
= $86.625
Simple interest is equal to $86.625.
Principal + simple interest = $2,700 + $86.625 = $2,786.625
After 7 months the total amount that I would have is $2,786.625.

Question 4.
If you start with $6,275 and earn simple interest of 14.75% for 37 months, what would be your total earnings for the period?
Answer:
Principal = $6,275
Rate of interest = 14.75% = 14.75/100
37 months = 37/12
Total number of years = 37/12
Simple interest = Principal x Rate of interest x Years
= $6,275 x (14.75/100) x (37/12)
= $2853.82
The total earning for the period is equal to $2,853.82.

Question 5.
You have a principal of $45,200 and will receive simple interest of 19.5% for 4 years. How much interest will you earn?
Answer:
Principal = $45,200
Rate of interest = 19.5% = 19.5/100
Total number of years = 4
Simple interest = Principal x Rate of interest x Years
= $45,200 x (19.5/100) x 4
= $35256
I will earn simple interest $35,256.

Question 6.
What would be the simple interest earned on $2,350 at 9.27% for 23 months?
Answer:
Principal = $2,350
Rate of interest = 9.27% = 9.27/100
23 months = 23/12
Total number of years = 23/12
Simple interest = Principal x Rate of interest x Years
= $2,350 x (9.27/100) x (23/12)
= $417.54
Simple interest is equal to $417.54.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 15.5 Simple Interest existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 15.5 Simple Interest

Exercises

SOLVE

Question 1.
If the simple interest earned on $200 is $50, how much would you be earning on $700?
Answer:
The simple interest earned on $200 is $50.
We have to calculate how much interest is earned on $700.
$200 = $50
$700 = $?
($700 x $50)/$200 = $175
The simple interest earned on $700 is $175.

Question 2.
A principal of $3000 will earn how much simple interest at 7.2%?
Answer:
Principal = $3000
Rate of interest = 7.2%
Simple interest = Principal x Rate of interest
= $3000 x 7.2%
= $3000 x (7.2/100)
= $216
Simple interest is equal to $216.

Question 3.
Your uncle gives you $100 and deposits it into a savings account that pays simple interest of 6% per year. How much will you earn in interest for the year?
Answer:
Principal amount = $100
Simple interest per year = ?
Rate of interest for the year = 6%
Simple interest = Principal x Rate of interest
= $100 x (6/100)
= $6
I will earn $6 in interest for the year.

Question 4.
At the beginning of the year you have $450 in your savings account and you are earning simple interest of 3.5% for the year. How much will you have at the end of the year?
Answer:
Principal = $450
Rate of interest = 3.5%
Simple interest = Principal x Rate of interest
= $450 x (3.5/100)
= $15.75
Simple interest for the year is equal to $15.75.
Principal + simple interest = $450 + $15.75 = $465.75
I will have $465.75 at the end of the year.

Question 5.
Simple interest at 7% on $5,000 would be how much?
Answer:
Principal = $5,000
Rate of interest = 7%
Simple interest = Principal x Rate of interest
= $5,000 x (7/100)
= $350
Simple interest at 7% is $350 for a principal of $5,000

Question 6.
Simple interest at 1% is how much for a principal of $10,000?
Answer:
Principal = $10,000
Rate of interest = 1%
Simple interest = Principal x Rate of interest
= $10,000 x (1/100)
= $100
Simple interest at 1% is $100 for a principal of $10,000.

Question 7.
If you have a principal of $4,000 and earn simple interest of 5% for one year, how much will you have at the end of the year?
Answer:
Principal = $4,000
Rate of interest = 5%
Simple interest = Principal x Rate of interest
= $4,000 x (5/100)
= $200
Simple interest for the year is equal to $200.
Principal + simple interest = $4,000 + $200 = $4,200
I will have $4,200 at the end of the year.

Question 8.
How much will you earn in a year on $150 if the simple interest is paid at a rate of 11%?
Answer:
Principal = $150
Rate of interest = 11%
Simple interest = Principal x Rate of interest
= $150 x (11/100)
= $16.50
I will earn $16.50 in a year on $150 if the simple interest is paid at a rate of 11%.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 15.4 Multiplying Percents and Fractions existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 15.4 Multiplying Percents and Fractions

Exercises

MULTIPLY

Question 1.
\(\frac{1}{2}\) of 40% = _________________
Answer:
40% = \(\frac{40}{100}\)
\(\frac{1}{2}\) x \(\frac{40}{100}\)
= \(\frac{40}{200}\)
= \(\frac{20}{100}\)
= 20%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{2}\) of 40% is equal to 20%.

Question 2.
\(\frac{2}{3}\) of 60% = _________________
Answer:
60% = \(\frac{60}{100}\)
\(\frac{2}{3}\) x \(\frac{60}{100}\)
= \(\frac{120}{300}\)
= \(\frac{40}{100}\)
= 40%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{2}{3}\) of 60% is equal to 40%.

Question 3.
50% of 18 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)
Multiply \(\frac{1}{2}\) with 18 the product is equal to 9.
\(\frac{1}{2}\) x 18 = 9
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 50% of 18 is equal to 9.

Question 4.
12% of 400 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
12% = \(\frac{12}{100}\) = \(\frac{3}{25}\)
Multiply \(\frac{3}{25}\) with 400 the product is equal to 48.
\(\frac{3}{25}\) x 400 = 48
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 12% of 400 is equal to 48.

Question 5.
\(\frac{1}{4}\) of 8% = _________________
Answer:
8% = \(\frac{8}{100}\)
\(\frac{1}{4}\) x \(\frac{8}{100}\)
= \(\frac{8}{400}\)
= \(\frac{2}{100}\)
= 2%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{4}\) of 8% is equal to 2%.

Question 6.
20% of 75 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
20% = \(\frac{20}{100}\) = \(\frac{1}{5}\)
Multiply \(\frac{1}{5}\) with 75 the product is equal to 15.
\(\frac{1}{5}\) x 75 = 15
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 20% of 75 is equal to 15.

Question 7.
39% of 300 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
39% = \(\frac{39}{100}\)
Multiply \(\frac{39}{100}\) with 300 the product is equal to 117.
\(\frac{39}{100}\) x 300 = 117
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 39% of 300 is equal to 117.

Question 8.
\(\frac{1}{9}\) of 45% = _________________
Answer:
45% = \(\frac{45}{100}\)
\(\frac{1}{9}\) x \(\frac{45}{100}\)
= \(\frac{45}{900}\)
= \(\frac{5}{100}\)
= 5%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{9}\) of 45% is equal to 5%.

Question 9.
\(\frac{1}{3}\) of 90% = _________________
Answer:
90% = \(\frac{90}{100}\)
\(\frac{1}{3}\) x \(\frac{90}{100}\)
= \(\frac{90}{300}\)
= \(\frac{30}{100}\)
= 30%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{3}\) of 90% is equal to 30%.

Question 10.
25% of 60 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
25% = \(\frac{25}{100}\) = \(\frac{1}{4}\)
Multiply \(\frac{1}{4}\) with 60 the product is equal to 15.
\(\frac{1}{4}\) x 60 = 15
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 25% of 60 is equal to 15.

Question 11.
\(\frac{1}{3}\) of 27% = _________________
Answer:
27% = \(\frac{27}{100}\)
\(\frac{1}{3}\) x \(\frac{27}{100}\)
= \(\frac{27}{300}\)
= \(\frac{9}{100}\)
= 9%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{3}\) of 27% is equal to 9%.

Question 12.
18% of 50 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
18% = \(\frac{18}{100}\) = \(\frac{9}{50}\)
Multiply \(\frac{9}{50}\) with 50 the product is equal to 9.
\(\frac{9}{50}\) x 50= 9
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 18% of 50 is equal to 9.

Question 13.
120% of 35 = ______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
120% = \(\frac{120}{100}\) = \(\frac{6}{5}\)
Multiply \(\frac{6}{5}\) with 35 the product is equal to 42.
\(\frac{6}{5}\) x 35 = 42
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 120% of 35 is equal to 42.

Question 14.
100% of 37 = _______________
Answer:
A percentage is displayed as a fraction with a denominator of 100.
100% = \(\frac{100}{100}\) = 1
Multiply 1 with 37 the product is equal to 37.
1 x 37 = 37
Here we are finding a percentage of a fraction. So, the product will be in fraction form. So, 100% of 37 is equal to 37.

Question 15.
\(\frac{1}{4}\) of 36% = _________________
Answer:
36% = \(\frac{36}{100}\)
\(\frac{1}{4}\) x \(\frac{36}{100}\)
= \(\frac{36}{400}\)
= \(\frac{9}{100}\)
= 9%
Here we are multiplying a fraction by a percentage. So, the product will be a percentage form.  So, \(\frac{1}{4}\) of 36% is equal to 9%.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 15.3 Percents and Decimals existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 15.3 Percents and Decimals

Exercises

CONVERT

Convert the decimals to a percentage. If the number is already a percentage, convert it to a decimal.

Question 1.
7% = _______________
Answer:
7% = 7/100 = 0.07
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 7% in decimal form as 0.07.

Question 2.
18.5% = _______________
Answer:
18.5% = 18.5/100 = 0.185
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 18.5% in decimal form as 0.185.

Question 3.
.33 = _______________
Answer:
0.33 = 33%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 0.33 in percentage form as 33%.

Question 4.
.675 = _______________
Answer:
0.675 = 67.5%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 0.675 in percentage form as 67.5%.

Question 5.
.3356 = _______________
Answer:
0.3356 = 33.56%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 0.3356 in percentage form as 33.56%.

Question 6.
.01 % = _______________
Answer:
0.01% = 0.01/100 = 0.0001
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 0.01% in decimal form as 0.0001.

Question 7.
2.34% = _______________
Answer:
2.34% = 2.34/100 = 0.0234
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 2.34% in decimal form as 0.0234.

Question 8.
3.45 = _______________
Answer:
3.45 = 345%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 3.45 in percentage form as 345%.

Question 9.
2.145 = _______________
Answer:
2.145 = 214.5%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 2.145 in percentage form as 214.5%.

Question 10.
.3% = _______________
Answer:
0.3% = 0.3/100 = 0.003
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 0.3% in decimal form as 0.003.

Question 11.
33.29% = _______________
Answer:
33.29% = 0.3329
Explanation:
A percentage is displayed as decimal with a denominator of 100. Here 33.29% in decimal form as 0.3329.

Question 12.
2456 = _______________
Answer:
2456.00 = 245600%
Explanation:
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 2456.00 in percentage form as 245600%.

Question 13.
Taylor divided 6 shares of XYZ Corporation among 7 of her cousins. Each cousin received .8571 shares of XYZ stock. What percentage of a whole share did each cousin receive?
Answer:
Taylor divided 6 shares of XYZ Corporation among 7 of her cousins.
Each cousin received .8571 shares of XYZ stock.
0.8571 = 85.71%
To convert decimals into percentages we need to move the decimal two places to the right. Then add a percent sign. The decimal 0.8571 in percentage form as 85.71%.
Each cousin received 85.71% of a whole share.

Question 14.
Bill wants to take 15.43% of his earnings this year and put his money in his savings account. If Bill earned $100 this year, how much money will he put into his savings account?
Answer:
Bill wants to take 15.43% of his earnings this year and put his money in his savings account.
Bill earned $100 in this year.
15.43% x $100 = 0.1543 x $100 = $15.43
Bill will put $15.43 into his savings account.