Question

$\frac{4}{15} \div \frac{10}{13}$

Explanation:

Step1: Rewrite division as multiplication

$\frac{4}{15} \div \frac{10}{13} = \frac{4}{15} \times \frac{13}{10}$

Step2: Multiply numerators and denominators

$\frac{4 \times 13}{15 \times 10} = \frac{52}{150}$

Step3: Simplify the fraction

$\frac{52 \div 2}{150 \div 2} = \frac{26}{75}$

Answer:

$\frac{26}{75}$