Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 2 - Multiplying and Dividing Fractions - 2.7 Dividing Fractions - 2.7 Exercises - Page 164: 7

Answer

$\frac{6}{5}$

Work Step by Step

Remember, that the product of a number $a$ and its reciprocal is 1. Therefore, the reciprocal of $a$ must be $\frac{1}{a}$ (which is just $a$ flipped), so that $a\times\frac{1}{a}=1$. Therefore, the reciprocal of $\frac{5}{6}$ is $\frac{1}{\frac{5}{6}}=1\times\frac{6}{5}=\frac{6}{5}$. $\frac{5}{6}\times\frac{6}{5}=1$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.