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Simplify: \newline5725\dfrac{\frac{5}{7}}{\frac{2}{5}} \newlineWrite your answer in simplest form.

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Full solution

Q. Simplify: \newline5725\dfrac{\frac{5}{7}}{\frac{2}{5}} \newlineWrite your answer in simplest form.
  1. Divide by Reciprocal: What is the multiplication form of 57\frac{5}{7} divided by 25\frac{2}{5}? Dividing by a fraction is the same as multiplying by its reciprocal. 57÷25=57×52\frac{5}{7} \div \frac{2}{5} = \frac{5}{7} \times \frac{5}{2}
  2. Multiply Fractions: Multiply 57 \frac{5}{7} by 52 \frac{5}{2} . 57×52 \frac{5}{7} \times \frac{5}{2} = 5×57×2 \frac{5 \times 5}{7 \times 2} = 2514 \frac{25}{14}

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