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 4, So we get \(\frac{3}{2 X 4}\) = \(\frac{3}{8}\).
Question 2.
\(\frac{6}{16}\) ÷ 4
Answer:
\(\frac{3}{32}\),
Explanation:
Multiply the denominator with the whole number 4 as \(\frac{6}{16}\) =
\(\frac{6}{16 X 4}\), 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 3 as \(\frac{6}{27}\) = \(\frac{6}{27 X 3}\), Simplify both numerator and denominator with 3,
So we get \(\frac{2}{27}\).
Question 4.
\(\frac{1}{12}\) ÷ 4
Answer:
\(\frac{1}{48}\),
Explanation:
Multiply the denominator with the whole number 4 as \(\frac{1}{12}\) =
\(\frac{1}{12 X 4}\), So we get \(\frac{1}{48}\).
Question 5.
\(\frac{18}{57}\) ÷ 2
Answer:
\(\frac{3}{19}\),
Explanation:
Multiply the denominator with the whole number 2 as \(\frac{18}{57}\) =\(\frac{18}{114}\), 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 7 as \(\frac{14}{15}\) =
\(\frac{14}{105}\), 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 as \(\frac{4}{9}\) =
\(\frac{4}{9 X 9}\), So we get \(\frac{4}{81}\).
Question 8.
\(\frac{12}{18}\) ÷ 12
Answer:
\(\frac{1}{18}\),
Explanation:
Multiply the denominator with the whole number 12 as \(\frac{12}{18}\) =
\(\frac{12}{18 X 12}\), 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 4 as \(\frac{16}{22}\) =
\(\frac{16}{22 X 4}\) = \(\frac{16}{88}\), Simplify both numerator and denominator with 8, So we get \(\frac{2}{11}\).
Question 10.
\(\frac{15}{19}\) ÷ 3
Answer:
\(\frac{5}{19}\),
Explanation:
Multiply the denominator with the whole number 3 as \(\frac{15}{19}\) =
\(\frac{15}{57}\), 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 6 as \(\frac{12}{31}\) = \(\frac{12}{31 X 6}\) = \(\frac{12}{186}\), 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 20 as \(\frac{55}{63}\),
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 11 as \(\frac{33}{477}\)
\(\frac{33}{5247}\), 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 9 as \(\frac{3}{14}\) =\(\frac{3}{126}\), 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 5 as \(\frac{5}{31}\) =
\(\frac{15}{155}\), 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 4 as \(\frac{16}{63}\) =\(\frac{16}{252}\), 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,
\(\frac{3}{4 X 8}\) = \(\frac{3}{32}\), 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 = \(\frac{18}{25 X 3}\) = \(\frac{18}{75}\), Simplify both numerator and denominator with 3,
So we get \(\frac{6}{25}\) yards.