# McGraw Hill Math Grade 6 Lesson 8.2 Answer Key Dividing Whole Numbers by Fractions

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 8.2 Dividing Whole Numbers by Fractions will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 8.2 Dividing Whole Numbers by Fractions

Exercises Divide

Question 1.
5 ÷ $$\frac{1}{4}$$
Dividing 5 by $$\frac{1}{4}$$,we get the quotient 20.

Explanation:
5 ÷ $$\frac{1}{4}$$
= 5 ×  $$\frac{4}{1}$$
= 20.

Question 2.
3 ÷ $$\frac{4}{5}$$
Dividing 3 by $$\frac{4}{5}$$,we get the quotient $$\frac{15}{4}$$

Explanation:
3 ÷ $$\frac{4}{5}$$
= 3 × $$\frac{5}{4}$$
=  $$\frac{15}{4}$$

Question 3.
7 ÷ $$\frac{1}{7}$$
Dividing 7 by $$\frac{1}{7}$$,we get the quotient 49.

Explanation:
7 ÷ $$\frac{1}{7}$$
= 7 × $$\frac{7}{1}$$
= 49.

Question 4.
9 ÷ $$\frac{4}{7}$$
Dividing 9 by $$\frac{4}{7}$$,we get the quotient $$\frac{63}{4}$$

Explanation:
9 ÷ $$\frac{4}{7}$$
= 9 × $$\frac{7}{4}$$
= $$\frac{63}{4}$$

Question 5.
2 ÷ $$\frac{1}{2}$$
Dividing 2 by $$\frac{1}{2}$$,we get the quotient 4.

Explanation:
2 ÷ $$\frac{1}{2}$$
= 2 × $$\frac{2}{1}$$
= 4.

Question 6.
4 ÷ $$\frac{2}{7}$$
Dividing 4 by $$\frac{2}{7}$$,we get the quotient 14.

Explanation:
4 ÷ $$\frac{2}{7}$$
= 4 × $$\frac{7}{2}$$
= 2 × $$\frac{7}{1}$$
= 14.

Question 7.
15 ÷ $$\frac{5}{7}$$
Dividing 15 by $$\frac{5}{7}$$,we get the quotient 21.

Explanation:
15 ÷ $$\frac{5}{7}$$
= 15 × $$\frac{7}{5}$$
= 3 × $$\frac{7}{1}$$
= 21.

Question 8.
4 ÷ $$\frac{2}{9}$$
Dividing 4 by $$\frac{2}{9}$$,we get the quotient 18.

Explanation:
4 ÷ $$\frac{2}{9}$$
= 4 × $$\frac{9}{2}$$
= 2 × $$\frac{9}{1}$$
= 18.

Question 9.
17 ÷ $$\frac{2}{3}$$
Dividing 17 by $$\frac{2}{3}$$,we get the quotient $$\frac{51}{2}$$

Explanation:
17 ÷ $$\frac{2}{3}$$
= 17 × $$\frac{3}{2}$$
= $$\frac{51}{2}$$

Question 10.
5 ÷ $$\frac{3}{5}$$
Dividing 5 by $$\frac{3}{5}$$,we get the quotient $$\frac{25}{3}$$

Explanation:
5 ÷ $$\frac{3}{5}$$
= 5 × $$\frac{5}{3}$$
= $$\frac{25}{3}$$

Question 11.
6 ÷ $$\frac{2}{3}$$
Dividing 6 by $$\frac{2}{3}$$,we get the quotient 9.

Explanation:
6 ÷ $$\frac{2}{3}$$
= 6 × $$\frac{3}{2}$$
= 3 × $$\frac{3}{1}$$
= 9.

Question 12.
9 ÷ $$\frac{3}{2}$$
Dividing 9 by $$\frac{3}{2}$$,we get the quotient 6.

Explanation:
9 ÷ $$\frac{3}{2}$$
= 9 × $$\frac{2}{3}$$
= 3 × $$\frac{2}{1}$$
= 6.

Question 13.
5 ÷ $$\frac{1}{11}$$
Dividing 5 by $$\frac{1}{11}$$,we get the quotient 55.

Explanation:
5 ÷ $$\frac{1}{11}$$
= 5 × $$\frac{11}{1}$$
= 55.

Question 14.
14 ÷ $$\frac{7}{2}$$
Dividing 14 by $$\frac{7}{2}$$,we get the quotient 4.

Explanation:
14 ÷ $$\frac{7}{2}$$
= 14 × $$\frac{2}{7}$$
= 2 × $$\frac{2}{1}$$
= 4.

Question 15.
3 ÷ $$\frac{1}{9}$$
Dividing 3 by $$\frac{1}{9}$$,we get the quotient 27.

Explanation:
3 ÷ $$\frac{1}{9}$$
= 3 × $$\frac{9}{1}$$
= 27.

Question 16.
3 ÷ $$\frac{7}{2}$$
Dividing 3 by $$\frac{7}{2}$$,we get the quotient $$\frac{6}{7}$$

Explanation:
3 ÷ $$\frac{7}{2}$$
= 3 × $$\frac{2}{7}$$
=  $$\frac{6}{7}$$

Question 17.
5 ÷ $$\frac{3}{11}$$
Dividing 5 by $$\frac{3}{11}$$,we get the quotient $$\frac{55}{3}$$

Explanation:
5 ÷ $$\frac{3}{11}$$
= 5 × $$\frac{11}{3}$$
= $$\frac{55}{3}$$

Question 18.
11 ÷ $$\frac{22}{3}$$
Dividing 11 by $$\frac{22}{3}$$,we get the quotient $$\frac{3}{2}$$

Explanation:
11 ÷ $$\frac{22}{3}$$
= 11 × $$\frac{3}{22}$$
= 1 × $$\frac{3}{2}$$
= $$\frac{3}{2}$$

Question 19.
18 ÷ $$\frac{3}{13}$$
Dividing 18 by $$\frac{3}{13}$$,we get the quotient 78.

Explanation:
18 ÷ $$\frac{3}{13}$$
= 18 × $$\frac{13}{3}$$
= 6 × $$\frac{13}{1}$$
= 78.

Question 20.
7 ÷ $$\frac{1}{21}$$
Dividing 7 by $$\frac{1}{21}$$,we get the quotient 147.

Explanation:
7 ÷ $$\frac{1}{21}$$
= 7 × $$\frac{21}{1}$$
= 147.

Question 21.
16 ÷ $$\frac{4}{17}$$
Dividing 16 by $$\frac{4}{17}$$,we get the quotient 68.

Explanation:
16 ÷ $$\frac{4}{17}$$
= 16 × $$\frac{17}{4}$$
= 4 × $$\frac{17}{1}$$
= 68.

Question 22.
4 ÷ $$\frac{1}{19}$$
Dividing 4 by $$\frac{1}{19}$$,we get the quotient 76.

Explanation:
4 ÷ $$\frac{1}{19}$$
= 4 × $$\frac{19}{1}$$
= 76.

Question 23.
21 ÷ $$\frac{7}{3}$$
Dividing 21 by $$\frac{7}{3}$$,we get the quotient 9.

Explanation:
21 ÷ $$\frac{7}{3}$$
= 21 × $$\frac{3}{7}$$
= 3 × $$\frac{3}{1}$$
= 9.

Question 24.
55 ÷ $$\frac{11}{10}$$
Dividing 55 by $$\frac{11}{10}$$,we get the quotient 50.

Explanation:
55 ÷ $$\frac{11}{10}$$
= 55 × $$\frac{10}{11}$$
= 5 × $$\frac{10}{1}$$
= $$\frac{50}{1}$$
= 50.

Question 25.
23 ÷ $$\frac{46}{51}$$
Dividing 23 by $$\frac{46}{51}$$,we get the quotient $$\frac{51}{2}$$
23 ÷ $$\frac{46}{51}$$
= 23 × $$\frac{51}{46}$$
= 1 × $$\frac{51}{2}$$
= $$\frac{51}{2}$$