Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 2 - Multiplying and Dividing Fractions - Review Exercises - Page 189: 28

Answer

$\frac{5}{8}\ne\frac{70}{120}$

Work Step by Step

$\frac{5}{8} and \frac{70}{120}$ Now Lets first write $\frac{70}{120}$ as the prime factorization of both numerator and denominator. $\frac{2\times5\times7}{2\times2\times2\times3\times5}$ Now, we divide the numerator and denominator by any common factors and replace the divided factor with 1. $\frac{1\times1\times7}{1\times2\times2\times3\times1}$ =$\frac{7}{2\times2\times3}$ = $\frac{7}{12}$ i.e. $\frac{5}{8} \ne \frac{70}{120}$
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