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

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.

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