Answer
$\frac{1}{3}$
Work Step by Step
$\frac{3}{4}$*$\frac{4}{9}$
Multiply the numerators and multiply the denominators.
$\frac{3 * 4}{4 * 9}$
Divide out the common factors in numerator and denominator
common factors are 3 and 4
So the lowest term is $\frac{1}{3}$