Answer
(a) $\frac{9}{2}$
(b) $\frac{25}{32}$
Work Step by Step
(a) We multiply across and reduce:
$\displaystyle \frac{15}{8}*\displaystyle \frac{12}{5}=\frac{15 * 12}{8*5}=\frac{3*3}{2*1}=\frac{9}{2}$
(b) We flip the second fraction, multiply, and reduce:
$\displaystyle \frac{15}{8}\div\frac{12}{5}=\frac{15*5}{8*12}=\frac{5*5}{8*4}=\frac{25}{32}$
