Question

divide.
$\frac{3}{4}div4\frac{1}{2}=$

Explanation:

Step1: Convert mixed - number to improper fraction

$4\frac{1}{2}=\frac{4\times2 + 1}{2}=\frac{9}{2}$

Step2: Change division to multiplication

$\frac{3}{4}\div\frac{9}{2}=\frac{3}{4}\times\frac{2}{9}$

Step3: Simplify the product

$\frac{3\times2}{4\times9}=\frac{6}{36}=\frac{1}{6}$

Answer:

$\frac{1}{6}$