Question

13 $\frac{9}{8} div \frac{3}{2} =$

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction equals multiplying by its reciprocal:
$\frac{9}{8} \div \frac{3}{2} = \frac{9}{8} \times \frac{2}{3}$

Step2: Simplify and multiply numerators/denominators

Cancel common factors (9 and 3, 8 and 2):
$\frac{9 \div 3}{8 \div 2} \times \frac{2 \div 2}{3 \div 3} = \frac{3}{4} \times \frac{1}{1}$
Multiply remaining terms:
$\frac{3 \times 1}{4 \times 1} = \frac{3}{4}$

Answer:

$\frac{3}{4}$