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10 $\frac{4}{7} div \frac{10}{5} =$

Question

10 $\frac{4}{7} div \frac{10}{5} =$

Explanation:

Step1: Rewrite division as multiplication

$\frac{4}{7} \div \frac{10}{5} = \frac{4}{7} \times \frac{5}{10}$

Step2: Simplify the second fraction

$\frac{5}{10} = \frac{1}{2}$, so $\frac{4}{7} \times \frac{1}{2}$

Step3: Multiply numerators and denominators

$\frac{4 \times 1}{7 \times 2} = \frac{4}{14}$

Step4: Simplify the final fraction

$\frac{4}{14} = \frac{2}{7}$

Answer:

$\frac{2}{7}$