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