Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3: 51

Answer

$\frac{18n+11}{12}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $12$. Therefore, we create a common denominator using this LCM and obtain: $\frac{3n-1}{3}+\frac{2n+5}{4}$ =$\frac{4(3n-1)+3(2n+5)}{12}$ =$\frac{12n-4+6n+15}{12}$ =$\frac{12n+6n-4+15}{12}$ =$\frac{18n+11}{12}$
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