# Chapter 7 - Algebraic Fractions - Chapter 7 Review Problem Set: 9

$= \frac{22x-19}{20}$

#### Work Step by Step

1. Find a common denominator: Multiply the first fraction by $4$ and the second fraction by $5$ to obtain a common denominator of $20$: $= \frac{4(3x+4)}{20} + \frac{5(2x-7)}{20}$ $= \frac{12x+16}{20} + \frac{10x-35}{20}$ 2. Add the fractions $= \frac{12x+16+10x-35}{20}$ $= \frac{22x-19}{20}$

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