Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set - Page 393: 13



Work Step by Step

When subtracting two fractions with common denominators, we subtract the numerators and copy the denominator. Therefore, the given expression, $ \dfrac{3y+8}{2y}-\dfrac{y+1}{2y} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{3y+8-(y+1)}{2y} \\\\= \dfrac{3y+8-y-1}{2y} \\\\= \dfrac{2y+7}{2y} .\end{array}
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