Answer
$\frac{7}{10}\gt\frac{8}{15}$
Work Step by Step
In order to tell which fraction is greater, we must first write both fractions as like fractions so that they have the same denominator. When they have the same denominator, the fraction with the greatest numerator will be greatest in value.
$\frac{7}{10}=\frac{7\times3}{10\times3}=\frac{21}{30}$
$\frac{8}{15}=\frac{8\times2}{15\times2}=\frac{16}{30}$
$21\gt16$, so $\frac{7}{10}\gt\frac{8}{15}$