McGraw Hill Math Grade 6 Lesson 8.3 Answer Key Dividing Fractions by Fractions

Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 8.3 Dividing Fractions by Fractions will engage students and is a great way of informal assessment.

McGraw-Hill Math Grade 6 Answer Key Lesson 8.3 Dividing Fractions by Fractions

Exercises Divide

Question 1.
\(\frac{5}{7}\) ÷ \(\frac{1}{4}\)
Answer:
Dividing \(\frac{5}{7}\) by \(\frac{1}{4}\),we get the quotient  \(\frac{20}{7}\)

Explanation:
\(\frac{5}{7}\) ÷ \(\frac{1}{4}\)
= \(\frac{5}{7}\) × \(\frac{4}{1}\)
= \(\frac{20}{7}\)

Question 2.
\(\frac{2}{3}\) ÷ \(\frac{2}{7}\)
Answer:
Dividing \(\frac{2}{3}\) by \(\frac{2}{7}\),we get the quotient \(\frac{7}{3}\)

Explanation:
\(\frac{2}{3}\) ÷ \(\frac{2}{7}\)
= \(\frac{2}{3}\) × \(\frac{7}{2}\)
= \(\frac{1}{3}\) × \(\frac{7}{1}\)
= \(\frac{7}{3}\)

Question 3.
\(\frac{1}{9}\) ÷ \(\frac{3}{7}\)
Answer:
Dividing \(\frac{1}{9}\) by \(\frac{3}{7}\),we get the quotient \(\frac{7}{27}\)

Explanation:
\(\frac{1}{9}\) ÷ \(\frac{3}{7}\)
= \(\frac{1}{9}\) × \(\frac{7}{3}\)
= \(\frac{7}{27}\)

Question 4.
\(\frac{3}{4}\) ÷ \(\frac{1}{9}\)
Answer:
Dividing \(\frac{3}{4}\) by \(\frac{1}{9}\),we get the quotient \(\frac{27}{4}\)

Explanation:
\(\frac{3}{4}\) ÷ \(\frac{1}{9}\)
= \(\frac{3}{4}\) × \(\frac{9}{1}\)
= \(\frac{27}{4}\)

Question 5.
\(\frac{3}{13}\) ÷ \(\frac{2}{9}\)
Answer:
Dividing \(\frac{3}{13}\) by \(\frac{2}{9}\),we get the quotient \(\frac{27}{26}\)

Explanation:
\(\frac{3}{13}\) ÷ \(\frac{2}{9}\)
= \(\frac{3}{13}\) × \(\frac{9}{2}\)
= \(\frac{27}{26}\)

Question 6.
\(\frac{1}{9}\) ÷ \(\frac{1}{3}\)
Answer:
Dividing \(\frac{1}{9}\) by \(\frac{1}{3}\),we get the quotient \(\frac{1}{3}\)

Explanation:
\(\frac{1}{9}\) ÷ \(\frac{1}{3}\)
= \(\frac{1}{9}\) × \(\frac{3}{1}\)
= \(\frac{1}{3}\) × \(\frac{1}{1}\)
= \(\frac{1}{3}\)

Question 7.
\(\frac{2}{13}\) ÷ \(\frac{1}{5}\)
Answer:
Dividing \(\frac{2}{13}\) by \(\frac{1}{5}\),we get the quotient \(\frac{10}{13}\)

Explanation:
\(\frac{2}{13}\) ÷ \(\frac{1}{5}\)
= \(\frac{2}{13}\) × \(\frac{5}{1}\)
= \(\frac{10}{13}\)

Question 8.
\(\frac{3}{13}\) ÷ \(\frac{2}{13}\)
Answer:
Dividing \(\frac{3}{13}\) by \(\frac{2}{13}\),we get the quotient \(\frac{3}{2}\)

Explanation:
\(\frac{3}{13}\) ÷ \(\frac{2}{13}\)
= \(\frac{3}{13}\) × \(\frac{13}{2}\)
= \(\frac{3}{1}\) × \(\frac{1}{2}\)
= \(\frac{3}{2}\)

Question 9.
\(\frac{4}{3}\) ÷ \(\frac{1}{4}\)
Answer:
Dividing \(\frac{4}{3}\) by \(\frac{1}{4}\),we get the quotient \(\frac{16}{3}\)

Explanation:
\(\frac{4}{3}\) ÷ \(\frac{1}{4}\)
= \(\frac{4}{3}\) × \(\frac{4}{1}\)
= \(\frac{16}{3}\)

Question 10.
\(\frac{15}{4}\) ÷ \(\frac{4}{3}\)
Answer:
Dividing \(\frac{15}{4}\) by \(\frac{4}{3}\),we get the quotient \(\frac{45}{16}\)

Explanation:
\(\frac{15}{4}\) ÷ \(\frac{4}{3}\)
= \(\frac{15}{4}\) × \(\frac{3}{4}\)
= \(\frac{45}{16}\)

Question 11.
\(\frac{6}{7}\) ÷ \(\frac{1}{7}\)
Answer:
Dividing \(\frac{6}{7}\) by \(\frac{1}{7}\),we get the quotient 6.

Explanation:
\(\frac{6}{7}\) ÷ \(\frac{1}{7}\)
= \(\frac{6}{7}\) × \(\frac{7}{1}\)
= \(\frac{6}{1}\) × \(\frac{1}{1}\)
= \(\frac{6}{1}\)
= 6.

Question 12.
\(\frac{3}{17}\) ÷ \(\frac{4}{17}\)
Answer:
Dividing \(\frac{3}{17}\) by \(\frac{4}{17}\),we get the quotient \(\frac{3}{4}\)

Explanation:
\(\frac{3}{17}\) ÷ \(\frac{4}{17}\)
= \(\frac{3}{17}\) × \(\frac{17}{4}\)
= \(\frac{3}{1}\) × \(\frac{1}{4}\)
= \(\frac{3}{4}\)

Question 13.
\(\frac{1}{11}\) ÷ \(\frac{22}{3}\)
Answer:
Dividing \(\frac{1}{11}\) by \(\frac{22}{3}\),we get the quotient \(\frac{3}{242}\)

Explanation:
\(\frac{1}{11}\) ÷ \(\frac{22}{3}\)
= \(\frac{1}{11}\) × \(\frac{3}{22}\)
= \(\frac{3}{242}\)

Question 14.
\(\frac{3}{7}\) ÷ \(\frac{1}{21}\)
Answer:
Dividing \(\frac{3}{7}\) by \(\frac{1}{21}\),we get the quotient 9.

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

Question 15.
\(\frac{5}{14}\) ÷ \(\frac{1}{7}\)
Answer:
Dividing \(\frac{5}{14}\) by \(\frac{1}{7}\),we get the quotient \(\frac{5}{2}\)

Explanation:
\(\frac{5}{14}\) ÷ \(\frac{1}{7}\)
= \(\frac{5}{14}\) × \(\frac{7}{1}\)
= \(\frac{5}{2}\) × \(\frac{1}{1}\)
= \(\frac{5}{2}\)

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