Answer
$\frac{3}{10}$
Work Step by Step
First, we multiply the numerators by each other and the denominators by each other:
$\frac{3}{8}\times\frac{12}{15}=\frac{3\times12}{8\times15}=\frac{36}{120}$
Next, we simplify the resultant expression to obtain the answer:
$\frac{36}{120}=\frac{12\times3}{40\times3}=\frac{12}{40}=\frac{3\times4}{10\times4}=\frac{3}{10}$