Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.3 - Simplifying Complex Fractions - Exercise Set - Page 361: 59

Answer

$\dfrac{770a}{770-s}$

Work Step by Step

The given expression, $ \dfrac{a}{1-\dfrac{s}{770}} ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{a}{\dfrac{770}{770}-\dfrac{s}{770}} \\\\= \dfrac{a}{\dfrac{770-s}{770}} \\\\= \dfrac{\dfrac{a}{1}}{\dfrac{770-s}{770}} .\end{array} Using $\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c},$ the expression above is equivalent to \begin{array}{l}\require{cancel} \dfrac{a}{1}\cdot\dfrac{770}{770-s} \\\\= \dfrac{770a}{770-s} .\end{array}
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.