Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-4 Rational Expressions - Practice and Problem-Solving Exercises - Page 533: 67

Answer

$\dfrac{137}{180}$

Work Step by Step

To add two fractions, make sure that the denominators are the same. If they are not, then find their least common denominator. In this exercise, the least common denominator is $180$. Rewrite the fractions so that they have common denominators: $\dfrac{11(15)}{12(15)} - \dfrac{7(4)}{45(4)}$ $=\dfrac{165}{180} - \dfrac{28}{180}$ Subtract the numerators, keeping the denominator as-is: $=\dfrac{137}{180}$
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