Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Lesson Check: 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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