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.