## Algebra 1

Published by Prentice Hall

# Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Lesson Check - Page 683: 7

#### Answer

The student did not make sure to find the LCD and create common denominators before adding the fractions.

#### Work Step by Step

The work should have been done as such: $1+\frac{1}{m} = \frac{1}{5}$ The LCD is $5m$, so we must multiply both sides of the equation by 5m. $1(5m)+\frac{1}{m}(5m) = \frac{1}{5}(5m)$ When we simplify, we get: $5m + 5 = m$

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