# Chapter 8 Rational Functions - 8.5 Add and Subtract Rational Expressions - Guided Practice for Examples 5 and 6 - Page 585: 11

$$-\frac{5x}{3\left(2x-7\right)}$$

#### Work Step by Step

To simplify the fraction, we first simplify the numerator and the denominator. Then, we simplify the overall expression: $$\frac{\frac{x}{6}-\frac{x}{3}}{\frac{x}{5}-\frac{7}{10}} \\ \frac{-\frac{x}{6}}{\frac{2x-7}{10}} \\ \frac{x\cdot \:10}{6\left(x\cdot \:2-7\right)} \\ -\frac{5x}{3\left(2x-7\right)}$$

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