Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapters 1-3 - Adding and Subtracting Fractions - Cumulative Review - Page 262: 32

Answer

$\frac{3}{5} \lt \frac{5}{8}$

Work Step by Step

$\frac{3}{5}$ _ $\frac{5}{8}$ To compare two fractions we need to have common denominator. = $\frac{3\times8}{5\times8}$ and $\frac{5\times5}{8\times5}$ (LCM of 8 & 5 is 40) = $\frac{24}{40}$ and $\frac{25}{40}$ = $\frac{24}{40} \lt \frac{25}{40}$ (As 24 $\lt$ 25) i.e. $\frac{3}{5} \lt \frac{5}{8}$
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