## Basic College Mathematics (10th Edition)

$\frac{5}{8}\gt\frac{17}{30}$
$\frac{5}{8}$, $\frac{17}{30}$ to compare two fractions lets have common denominator. 8 & 30 has least common multiple as 120. So multiply numerator and denominator of first fraction with 15 and second with 4. $\frac{5\times15}{8\times15}$ $\frac{17\times4}{30\times4}$, = $\frac{75}{120}$, $\frac{68}{120}$ Now, $\frac{75}{120}\gt\frac{68}{120}$ (numerator of first fraction is more then second) = $\frac{5}{8}\gt\frac{17}{30}$