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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
\(\frac{6}{7}\)