Question

divide. write your answer in simplest form.\\(\frac{7}{15} div \frac{3}{10}\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{7}{15} \div \frac{3}{10} = \frac{7}{15} \times \frac{10}{3}$

Step2: Multiply numerators and denominators

$\frac{7 \times 10}{15 \times 3} = \frac{70}{45}$

Step3: Simplify the fraction

$\frac{70 \div 5}{45 \div 5} = \frac{14}{9}$

Answer:

$\frac{14}{9}$