Question

divide. write your answer in simplest form. $\frac{2}{9} div \frac{5}{12}$

Explanation:

Step1: Rewrite division as multiplication

$\frac{2}{9} \div \frac{5}{12} = \frac{2}{9} \times \frac{12}{5}$

Step2: Multiply numerators and denominators

$\frac{2 \times 12}{9 \times 5} = \frac{24}{45}$

Step3: Simplify the fraction

$\frac{24 \div 3}{45 \div 3} = \frac{8}{15}$

Answer:

$\frac{8}{15}$