McGraw Hill Math Grade 6 Lesson 14.4 Answer Key Multiplying Percents and Fractions

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 14.4 Multiplying Percents and Fractions will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 14.4 Multiplying Percents and Fractions

Exercises

MULTIPLY

Give the answer as a fraction.

Question 1.
35% of \(\frac{1}{6}\)
Answer:
35% can be written as 35/100
35/100 × \(\frac{1}{6}\) = 0.058
0.058 in the fraction form can be written as \(\frac{58}{1000}\)

Question 2.
22% of \(\frac{6}{7}\)
Answer:
22% can be written as 22/100
22/100 × \(\frac{6}{7}\) = 0.18
0.18 in the fraction form can be written as \(\frac{18}{100}\)

Question 3.
25% of \(\frac{1}{4}\)
Answer:
25% can be written as 25/100
25/100 × \(\frac{1}{4}\) = \(\frac{1}{16}\)

Question 4.
78% of \(\frac{4}{5}\)
Answer:
78% can be written as 78/100
78/100 × \(\frac{4}{5}\) = \(\frac{312}{500}\) = 0.62
0.62 in the fraction form can be written as \(\frac{62}{100}\)

Question 5.
4% of \(\frac{2}{3}\)
Answer:
4% can be written as 4/100
4/100 × \(\frac{2}{3}\) = \(\frac{8}{300}\) = 0.02
0.02 in the fraction form can be written as \(\frac{2}{100}\)

Question 6.
56% of \(\frac{3}{7}\)
Answer:
56% can be written as 56/100
56/100 × \(\frac{3}{7}\) = \(\frac{168}{700}\) = 0.24
0.24 in the fraction form can be written as \(\frac{24}{100}\)

Question 7.
37% of \(\frac{3}{13}\)
Answer:
37% can be written as 37/100
37/100 × \(\frac{3}{13}\) = \(\frac{111}{1300}\) = 0.08
0.08 in the fraction form can be written as \(\frac{8}{100}\)

Question 8.
51% of \(\frac{1}{8}\)
Answer:
51% can be written as 51/100
51/100 × \(\frac{1}{8}\) = \(\frac{51}{800}\) = 0.06
0.06 in the fraction form can be written as \(\frac{6}{100}\)

Question 9.
44% of \(\frac{4}{9}\)
Answer:
44% can be written as 44/100
44/100 × \(\frac{4}{9}\) = \(\frac{176}{900}\) = 0.19
0.19 in the fraction form can be written as \(\frac{19}{100}\)

Question 10.
10% of \(\frac{3}{17}\)
Answer:
10% can be written as 10/100
10/100 × \(\frac{3}{17}\) = \(\frac{30}{1700}\) = 0.017
0.017 in the fraction form can be written as \(\frac{17}{1000}\)

Give the answer rounded to two digits to the right of the decimal point.

Question 11.
\(\frac{3}{5}\) of 20.2%
Answer:
\(\frac{3}{5}\) × 20.2%
\(\frac{3}{5}\) × \(\frac{202}{1000}\)
\(\frac{3}{5}\) × 0.202
0.6 × 0.202 = 0.12

Question 12.
\(\frac{1}{11}\) of 37%
Answer:
\(\frac{1}{11}\) of 37%
\(\frac{1}{11}\) × \(\frac{37}{100}\)
\(\frac{3}{5}\) × 0.37
0.09 × 0.37 = 0.03

Question 13.
\(\frac{3}{4}\) of 75.75%
Answer:
\(\frac{3}{4}\) of 75.75%
\(\frac{3}{4}\) × \(\frac{7575}{10000}\)
\(\frac{3}{4}\) × 0.7575
0.75 × 0.7575 = 0.57

Question 14.
\(\frac{2}{3}\) of 66%
Answer:
\(\frac{2}{3}\) of 66%
\(\frac{2}{3}\) × \(\frac{66}{100}\)
\(\frac{2}{3}\) × 0.66
0.66 × 0.66 = 0.44

Question 15.
\(\frac{1}{8}\) of 88.08%
Answer:
\(\frac{1}{8}\) of 88.08%
\(\frac{1}{8}\) × \(\frac{8808}{10000}\)
\(\frac{1}{8}\) × 0.8808
0.125 × 0.8808 = 0.11

Question 16.
\(\frac{3}{13}\) of 152%
Answer:
\(\frac{3}{13}\) of 152%
\(\frac{3}{13}\) × \(\frac{152}{100}\)
\(\frac{3}{13}\) × 1.52
0.23 × 1.52 = 0.35

Question 17.
\(\frac{3}{8}\) of 225%
Answer:
\(\frac{3}{8}\) of 225%
\(\frac{3}{8}\) × \(\frac{225}{100}\)
0.375 × 2.25 = 0.84

Question 18.
\(\frac{5}{6}\) of 11%
Answer:
\(\frac{5}{6}\) of 11%
\(\frac{5}{6}\) × \(\frac{11}{100}\)
0.83 × 0.11 = 0.09

Question 19.
\(\frac{2}{17}\) of 34.34%
Answer:
\(\frac{2}{17}\) of 34.34%
\(\frac{2}{17}\) × \(\frac{3434}{10000}\)
0.11 × 0.3434 = 0.04

Question 20.
\(\frac{1}{4}\) of .024%
Answer:
\(\frac{1}{4}\) of .024%
\(\frac{1}{4}\) × \(\frac{24}{100000}\)
0.25 × 0.00024 = 0.00006

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