Simplify: $\frac{1}{2}\times \frac{9}{3}$

While multiplying two fractions, we multiply the numerator of one fraction with the numerator of the other fraction and the denominator of one fraction with the denominator of the other fraction.

Therefore,

$\frac{1}{2}\times \frac{9}{3}=\frac{1\times 9}{2\times 3}=\frac{9}{6}=\frac{3}{2}$