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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,
\(\frac{3}{28}\)