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Perform the operation and simplify the answer fully. (2)/(5)÷(5)/(3) Answer:

Perform the operation and simplify the answer fully.\newline25÷53 \frac{2}{5} \div \frac{5}{3} \newlineAnswer:

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Full solution

Q. Perform the operation and simplify the answer fully.\newline25÷53 \frac{2}{5} \div \frac{5}{3} \newlineAnswer:
  1. Understand Division of Fractions: Understand the division of fractions.\newlineTo divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
  2. Find Reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (53)(\frac{5}{3}) is (35)(\frac{3}{5}).
  3. Multiply Fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(25)÷(53)=(25)×(35)(\frac{2}{5}) \div (\frac{5}{3}) = (\frac{2}{5}) \times (\frac{3}{5})
  4. Perform Multiplication: Perform the multiplication.\newlineMultiply the numerators together and the denominators together.\newline(2×3)/(5×5)=6/25(2 \times 3) / (5 \times 5) = 6 / 25

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