Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 3 - Adding and Subtracting Fractions - Mixed Review Exercises - Page 258: 16

Answer

$\frac{8}{9}\lt\frac{15}{8}$

Work Step by Step

$\frac{8}{9}$, $\frac{15}{8}$ to compare two fractions lets have common denominator. 8 & 9 has least common multiple as 72. So multiply numerator and denominator of first fraction with 8 and second with 9. $\frac{8\times8}{9\times8}$, $\frac{15\times9}{8\times9}$ = $\frac{64}{72}$, $\frac{135}{72}$ Now, $\frac{64}{72}\lt\frac{135}{72}$ (numerator of first fraction is less then second) = $\frac{8}{9}\lt\frac{15}{8}$
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