Practice the questions of **McGraw Hill Math Grade 8 Answer Key**** PDF** **Lesson 5.1 Dividing Fractions by Whole Numbers** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 5.1 Dividing Fractions by Whole Numbers

**Exercises Divide**

Question 1.

\(\frac{3}{2}\) ÷ 4

Answer:

\(\frac{3}{8}\),

Explanation:

Multiply the denominator with the whole number,

2 x 4 = 8,

So, we get \(\frac{3}{8}\).

Question 2.

\(\frac{6}{16}\) ÷ 4

Answer:

\(\frac{3}{32}\),

Explanation:

Multiply the denominator with the whole number,

16 x 4 = 64,

\(\frac{6}{64}\),

Simplify both numerator and denominator with 2,

So, we get \(\frac{3}{32}\).

Question 3.

\(\frac{6}{27}\) ÷ 3

Answer:

\(\frac{2}{27}\),

Explanation:

Multiply the denominator with the whole number,

27 x 3 = 81,

\(\frac{6}{81}\),

Simplify both numerator and denominator with 3,

So, we get \(\frac{2}{7}\).

Question 4.

\(\frac{1}{12}\) ÷ 4

Answer:

\(\frac{1}{48}\),

Explanation:

Multiply the denominator with the whole number,

12 x 4 = 48,

So, we get \(\frac{1}{48}\).

Question 5.

\(\frac{18}{57}\) ÷ 2

Answer:

\(\frac{3}{19}\),

Explanation:

Multiply the denominator with the whole number,

57 x 2 = 114,

\(\frac{18}{114}\),

Simplify both numerator and denominator with 6,

So, we get \(\frac{3}{19}\).

Question 6.

\(\frac{14}{15}\) ÷ 7

Answer:

\(\frac{2}{15}\),

Explanation:

Multiply the denominator with the whole number,

15 x 7 = 105,

\(\frac{14}{105}\),

Simplify both numerator and denominator with 7,

So, we get \(\frac{2}{15}\).

Question 7.

\(\frac{4}{9}\) ÷ 9

Answer:

\(\frac{4}{81}\),

Explanation:

Multiply the denominator with the whole number,

9 x = 81,

So, we get \(\frac{4}{81}\).

Question 8.

\(\frac{12}{18}\) ÷ 12

Answer:

\(\frac{1}{18}\),

Explanation:

Multiply the denominator with the whole number,

18 x 12 = 216,

\(\frac{12}{216}\),

Simplify both numerator and denominator with 12,

So, we get \(\frac{1}{18}\).

Question 9.

\(\frac{16}{22}\) ÷ 4

Answer:

\(\frac{2}{11}\),

Explanation:

Multiply the denominator with the whole number,

22 x 4 = 88,

\(\frac{16}{88}\),

Simplify both numerator and denominator with 2,

So, we get \(\frac{2}{11}\).

Question 10.

\(\frac{15}{19}\) ÷ 3

Answer:

\(\frac{5}{19}\),

Explanation:

Multiply the denominator with the whole number,

19 x 3 = 57,

\(\frac{15}{57}\),

Simplify both numerator and denominator with 3,

So, we get \(\frac{5}{19}\).

Question 11.

\(\frac{12}{31}\) ÷ 6

Answer:

\(\frac{1}{8}\),

Explanation:

Multiply the denominator with the whole number,

31 x 6 = 96,

\(\frac{12}{96}\),

Simplify both numerator and denominator with 12,

So, we get \(\frac{1}{8}\).

Question 12.

\(\frac{55}{63}\) ÷ 20

Answer:

\(\frac{11}{252}\),

Explanation:

Multiply the denominator with the whole number,

63 x 20 = 1260,

\(\frac{55}{1260}\),

Simplify both numerator and denominator with 5,

So, we get \(\frac{11}{252}\).

Question 13.

\(\frac{33}{477}\) ÷ 11

Answer:

\(\frac{1}{159}\),

Explanation:

Multiply the denominator with the whole number,

477 x 11 = 5247,

\(\frac{33}{5247}\),

Simplify both numerator and denominator with 33,

So, we get \(\frac{1}{159}\).

Question 14.

\(\frac{3}{14}\) ÷ 9

Answer:

\(\frac{1}{42}\),

Explanation:

Multiply the denominator with the whole number,

14 x 9 = 126,

\(\frac{3}{126}\),

Simplify both numerator and denominator with 3,

So, we get \(\frac{1}{42}\).

Question 15.

\(\frac{15}{31}\) ÷ 5

Answer:

\(\frac{3}{31}\),

Explanation:

Multiply the denominator with the whole number,

31 x 5 = 155,

\(\frac{15}{155}\),

Simplify both numerator and denominator with 5,

So, we get \(\frac{3}{31}\).

Question 16.

\(\frac{16}{63}\) ÷ 4

Answer:

\(\frac{4}{63}\),

Explanation:

Multiply the denominator with the whole number,

63 x 4 = 252,

\(\frac{16}{252}\),

Simplify both numerator and denominator with 4,

So, we get \(\frac{4}{63}\).

Question 17.

Julius receives \(\frac{3}{4}\) pounds of Swiss chocolate from his grandmother and wants to divide the chocolate evenly among his 8 friends. How much chocolate will each friend receive?

Answer:

\(\frac{3}{32}\) pounds,

Explanation:

Julius receives \(\frac{3}{4}\) pounds of Swiss chocolate from his grandmother,

She wants to divide the chocolate evenly among his 8 friends.

\(\frac{3}{4}\) ÷ 8

Multiply the denominator with the whole number,

4 x 8 = 32,

Each friend will receive \(\frac{3}{32}\) pounds of chocolates.

Question 18.

Paola has \(\frac{18}{25}\) yard of yarn. She wants to cut the yarn into 3 equal pieces to make button loops. How long should she cut each piece?

Answer:

\(\frac{6}{25}\) yards,

Explanation:

Paola has \(\frac{18}{25}\) yard of yarn.

She wants to cut the yarn into 3 equal pieces to make button loops.

\(\frac{18}{25}\) ÷ 3,

Multiply the denominator with the whole number,

25 x 3 = 75,

\(\frac{18}{75}\),

Simplify both numerator and denominator with 3,

So, we get \(\frac{6}{25}\) yards.