Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF Lesson 7.2 Multiplying Fractions: Reciprocals** will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 7.2 Multiplying Fractions: Reciprocals

**Exercises Multiply**

Question 1.

\(\frac{1}{2}\) × \(\frac{1}{2}\)

Answer:

Multiplying \(\frac{1}{2}\) by \(\frac{1}{2}\), we get the product \(\frac{1}{4}\)

Explanation:

\(\frac{1}{2}\) × \(\frac{1}{2}\)

= \(\frac{1}{4}\)

Question 2.

\(\frac{2}{3}\) × \(\frac{6}{7}\)

Answer:

Multiplying \(\frac{2}{3}\) by \(\frac{6}{7}\), we get the product \(\frac{4}{7}\)

Explanation:

\(\frac{2}{3}\) × \(\frac{6}{7}\)

= \(\frac{2}{1}\) × \(\frac{2}{7}\)

= \(\frac{4}{7}\)

Question 3.

\(\frac{5}{9}\) × \(\frac{3}{11}\)

Answer:

Multiplying \(\frac{5}{9}\) by \(\frac{3}{11}\) , we get the product \(\frac{5}{33}\)

Explanation:

\(\frac{5}{9}\) × \(\frac{3}{11}\)

= \(\frac{5}{3}\) × \(\frac{1}{11}\)

= \(\frac{5}{33}\)

Question 4.

\(\frac{10}{13}\) × \(\frac{1}{3}\)

Answer:

Multiplying \(\frac{10}{13}\) by \(\frac{1}{3}\) , we get the product \(\frac{10}{39}\)

Explanation:

\(\frac{10}{13}\) × \(\frac{1}{3}\)

= \(\frac{10}{39}\)

Question 5.

\(\frac{3}{11}\) × \(\frac{11}{3}\)

Answer:

Multiplying \(\frac{3}{11}\) by \(\frac{11}{3}\) , we get the product 1.

Explanation:

\(\frac{3}{11}\) × \(\frac{11}{3}\)

= 1.

Question 6.

\(\frac{7}{3}\) × \(\frac{3}{11}\)

Answer:

Multiplying \(\frac{7}{3}\) by \(\frac{3}{11}\), we get the product \(\frac{7}{11}\)

Explanation:

\(\frac{7}{3}\) × \(\frac{3}{11}\)

= \(\frac{7}{1}\) × \(\frac{1}{11}\)

= \(\frac{7}{11}\)

Question 7.

\(\frac{4}{5}\) × \(\frac{7}{8}\)

Answer:

Multiplying \(\frac{4}{5}\) by \(\frac{7}{8}\), we get the product \(\frac{7}{10}\)

Explanation:

\(\frac{4}{5}\) × \(\frac{7}{8}\)

= \(\frac{1}{5}\) × \(\frac{7}{2}\)

= \(\frac{7}{10}\)

Question 8.

\(\frac{3}{4}\) × \(\frac{4}{3}\)

Answer:

Multiplying \(\frac{3}{4}\) by \(\frac{4}{3}\) , we get the product 1.

Explanation:

\(\frac{3}{4}\) × \(\frac{4}{3}\)

= 1.

Question 9.

\(\frac{17}{27}\) × \(\frac{5}{3}\)

Answer:

Multiplying \(\frac{17}{27}\) by \(\frac{5}{3}\), we get the product \(\frac{85}{81}\)

Explanation:

\(\frac{17}{27}\) × \(\frac{5}{3}\)

= \(\frac{85}{81}\)

Question 10.

\(\frac{6}{10}\) × \(\frac{6}{11}\)

Answer:

Multiplying \(\frac{6}{10}\) by \(\frac{6}{11}\), we get the product \(\frac{18}{55}\)

Explanation:

\(\frac{6}{10}\) × \(\frac{6}{11}\)

= \(\frac{6}{5}\) × \(\frac{3}{11}\)

= \(\frac{18}{55}\)

Question 11.

\(\frac{13}{14}\) × \(\frac{2}{3}\)

Answer:

Multiplying \(\frac{13}{14}\) by \(\frac{2}{3}\), we get the product \(\frac{13}{21}\)

Explanation:

\(\frac{13}{14}\) × \(\frac{2}{3}\)

= \(\frac{13}{7}\) × \(\frac{1}{3}\)

= \(\frac{13}{21}\)

Question 12.

\(\frac{4}{5}\) × \(\frac{4}{5}\)

Answer:

Multiplying \(\frac{4}{5}\) by \(\frac{4}{5}\), we get the product \(\frac{16}{25}\)

Explanation:

\(\frac{4}{5}\) × \(\frac{4}{5}\)

= \(\frac{16}{25}\)

Question 13.

\(\frac{133}{145}\) × \(\frac{145}{133}\)

Answer:

Multiplying \(\frac{133}{145}\) by \(\frac{145}{133}\), we get the product 1.

Explanation:

\(\frac{133}{145}\) × \(\frac{145}{133}\)

= 1.

Question 14.

\(\frac{8}{19}\) × \(\frac{5}{7}\)

Answer:

Multiplying \(\frac{8}{19}\) by \(\frac{5}{7}\), we get the product \(\frac{40}{133}\)

Explanation:

\(\frac{8}{19}\) × \(\frac{5}{7}\)

= \(\frac{40}{133}\)

Question 15.

\(\frac{11}{13}\) × \(\frac{9}{14}\)

Answer:

Multiplying \(\frac{11}{13}\) by \(\frac{9}{14}\), we get the product \(\frac{99}{182}\)

Explanation:

\(\frac{11}{13}\) × \(\frac{9}{14}\)

= \(\frac{99}{182}\)

Question 16.

\(\frac{32}{33}\) × \(\frac{1}{2}\)

Answer:

Multiplying \(\frac{32}{33}\) by \(\frac{1}{2}\), we get the product \(\frac{16}{33}\)

Explanation:

\(\frac{32}{33}\) × \(\frac{1}{2}\)

= \(\frac{16}{33}\) × \(\frac{1}{1}\)

= \(\frac{16}{33}\)

Question 17.

\(\frac{1}{5}\) × \(\frac{1}{7}\)

Answer:

Multiplying \(\frac{1}{5}\) by \(\frac{1}{7}\), we get the product \(\frac{1}{35}\)

Explanation:

\(\frac{1}{5}\) × \(\frac{1}{7}\)

= \(\frac{1}{35}\)

Question 18.

\(\frac{5}{6}\) × \(\frac{5}{9}\)

Answer:

Multiplying \(\frac{5}{6}\) by \(\frac{5}{9}\), we get the product \(\frac{25}{54}\)

Explanation:

\(\frac{5}{6}\) × \(\frac{5}{9}\)

= \(\frac{25}{54}\)

Question 19.

\(\frac{2}{3}\) × \(\frac{33}{34}\)

Answer:

Multiplying \(\frac{2}{3}\) by \(\frac{33}{34}\), we get the product \(\frac{11}{17}\)

Explanation:

\(\frac{2}{3}\) × \(\frac{33}{34}\)

= \(\frac{1}{1}\) × \(\frac{11}{17}\)

= \(\frac{11}{17}\)

Question 20.

\(\frac{45}{47}\) × \(\frac{47}{45}\)

Answer:

Multiplying \(\frac{45}{47}\) by \(\frac{47}{45}\), we get the product 1.

Explanation:

\(\frac{45}{47}\) × \(\frac{47}{45}\)

= 1.