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