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: 10

Answer

$\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}=\dfrac{37}{63}$

Work Step by Step

$\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}$ Evaluate the substraction indicated in the numerator and the sum indicated in the denominator: $\dfrac{4-\dfrac{11}{12}}{5+\dfrac{1}{4}}=\dfrac{\dfrac{48-11}{12}}{\dfrac{20+1}{4}}=\dfrac{\dfrac{37}{12}}{\dfrac{21}{4}}=...$ Evaluate the division and simplify: $...=\dfrac{37}{12}\div\dfrac{21}{4}=\dfrac{(37)(4)}{(12)(21)}=\dfrac{37}{63}$
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