Question

$7\frac{1}{2}div\frac{9}{1}$
$=7\frac{1}{2}cdot\frac{1}{9}$
$=\frac{15}{2}cdot\frac{1}{9}$
$\square\square$
$=\frac{15\cdot1}{2\cdot9}$
$\square$

Explanation:

Step1: Simplify via cross-cancellation

Cancel common factor 3 from 15 and 9:
$15 = 3 \times 5$, $9 = 3 \times 3$, so $\frac{15}{2} \cdot \frac{1}{9} = \frac{5}{2} \cdot \frac{1}{3}$

Step2: Multiply numerators and denominators

Multiply top terms and bottom terms:
$\frac{5 \times 1}{2 \times 3} = \frac{5}{6}$

Answer:

$\frac{5}{6}$