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 ÷ \(\frac{1}{4}\)

Answer:

Dividing 5 by \(\frac{1}{4}\),we get the quotient 20.

Explanation:

5 ÷ \(\frac{1}{4}\)

= 5 × \(\frac{4}{1}\)

= 20.

Question 2.

3 ÷ \(\frac{4}{5}\)

Answer:

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 ÷ \(\frac{1}{7}\)

Answer:

Dividing 7 by \(\frac{1}{7}\),we get the quotient 49.

Explanation:

7 ÷ \(\frac{1}{7}\)

= 7 × \(\frac{7}{1}\)

= 49.

Question 4.

9 ÷ \(\frac{4}{7}\)

Answer:

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 ÷ \(\frac{1}{2}\)

Answer:

Dividing 2 by \(\frac{1}{2}\),we get the quotient 4.

Explanation:

2 ÷ \(\frac{1}{2}\)

= 2 × \(\frac{2}{1}\)

= 4.

Question 6.

4 ÷ \(\frac{2}{7}\)

Answer:

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 ÷ \(\frac{5}{7}\)

Answer:

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 ÷ \(\frac{2}{9}\)

Answer:

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 ÷ \(\frac{2}{3}\)

Answer:

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 ÷ \(\frac{3}{5}\)

Answer:

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 ÷ \(\frac{2}{3}\)

Answer:

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 ÷ \(\frac{3}{2}\)

Answer:

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 ÷ \(\frac{1}{11}\)

Answer:

Dividing 5 by \(\frac{1}{11}\),we get the quotient 55.

Explanation:

5 ÷ \(\frac{1}{11}\)

= 5 × \(\frac{11}{1}\)

= 55.

Question 14.

14 ÷ \(\frac{7}{2}\)

Answer:

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 ÷ \(\frac{1}{9}\)

Answer:

Dividing 3 by \(\frac{1}{9}\),we get the quotient 27.

Explanation:

3 ÷ \(\frac{1}{9}\)

= 3 × \(\frac{9}{1}\)

= 27.

Question 16.

3 ÷ \(\frac{7}{2}\)

Answer:

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 ÷ \(\frac{3}{11}\)

Answer:

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 ÷ \(\frac{22}{3}\)

Answer:

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 ÷ \(\frac{3}{13}\)

Answer:

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 ÷ \(\frac{1}{21}\)

Answer:

Dividing 7 by \(\frac{1}{21}\),we get the quotient 147.

Explanation:

7 ÷ \(\frac{1}{21}\)

= 7 × \(\frac{21}{1}\)

= 147.

Question 21.

16 ÷ \(\frac{4}{17}\)

Answer:

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 ÷ \(\frac{1}{19}\)

Answer:

Dividing 4 by \(\frac{1}{19}\),we get the quotient 76.

Explanation:

4 ÷ \(\frac{1}{19}\)

= 4 × \(\frac{19}{1}\)

= 76.

Question 23.

21 ÷ \(\frac{7}{3}\)

Answer:

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 ÷ \(\frac{11}{10}\)

Answer:

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 ÷ \(\frac{46}{51}\)

Answer:

Dividing 23 by \(\frac{46}{51}\),we get the quotient \(\frac{51}{2}\)

Explanation:

23 ÷ \(\frac{46}{51}\)

= 23 × \(\frac{51}{46}\)

= 1 × \(\frac{51}{2}\)

= \(\frac{51}{2}\)