Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.7 - Simplifying Complex Fractions - Exercise Set: 24

Answer

$\dfrac{\dfrac{7y+21}{3}}{\dfrac{3y+9}{8}}=\dfrac{56}{9}$

Work Step by Step

$\dfrac{\dfrac{7y+21}{3}}{\dfrac{3y+9}{8}}$ Evaluate the division: $\dfrac{\dfrac{7y+21}{3}}{\dfrac{3y+9}{8}}=\dfrac{7y+21}{3}\div\dfrac{3y+9}{8}=\dfrac{8(7y+21)}{3(3y+9)}=...$ Take out common factor $7$ from the parentheses in the numerator and common factor $3$ from the parentheses in the denominator. Then, simplify: $...=\dfrac{8(7)(y+3)}{3(3)(y+3)}=\dfrac{8(7)}{3(3)}=\dfrac{56}{9}$
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