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4 $\frac{6}{9} div \frac{5}{6} =$

Question

4 $\frac{6}{9} div \frac{5}{6} =$

Explanation:

Step1: Simplify the first fraction

$\frac{6}{9} = \frac{2}{3}$

Step2: Rewrite division as multiplication

$\frac{2}{3} \div \frac{5}{6} = \frac{2}{3} \times \frac{6}{5}$

Step3: Multiply numerators and denominators

$\frac{2 \times 6}{3 \times 5} = \frac{12}{15}$

Step4: Simplify the result

$\frac{12}{15} = \frac{4}{5}$

Answer:

$\frac{4}{5}$