Question

Which ratio is greater: 3 : 7 or $6:13$?

Answer 1

$3:7=\frac{3}{7}6:13=\frac{6}{13}$
LCM of $7,13=91$
$3:7=\frac{3}{7}\times \frac{13}{13}=\frac{39}{91}$
$6:13=\frac{6}{13}\times \frac{7}{7}=\frac{42}{91}$
$\because \frac{42}{91}>\frac{39}{91}$
$\therefore \frac{6}{13}>\frac{3}{7}$
$\Rightarrow 6:13>3:7$