## Algebra 2 Common Core

Published by Prentice Hall

# Skills Handbook - Operations With Rational Expressions - Exercises - Page 984: 11

#### Answer

$$\frac{74x}{35}$$

#### Work Step by Step

A common denominator of $5$ and $7$ is $35$, so $$\frac{7x}{5}+\frac{5x}{7}=\bigg(\frac{7x}{5}\bigg)\bigg(\frac{7}{7}\bigg)+\bigg(\frac{5x}{7}\bigg)\bigg(\frac{5}{5}\bigg)=\frac{49x}{35}+\frac{25x}{35}=\frac{74x}{35}.$$

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