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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (3)/(5)÷(3)/(2) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline35÷32 \frac{3}{5} \div \frac{3}{2} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline35÷32 \frac{3}{5} \div \frac{3}{2} \newlineAnswer:
  1. Understand Fraction Division: Understand the division of fractions.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of (32)(\frac{3}{2}) is (23)(\frac{2}{3}).
  2. Set Up Multiplication: Set up the multiplication.\newline(35)÷(32)(\frac{3}{5}) \div (\frac{3}{2}) is the same as (35)×(23)(\frac{3}{5}) \times (\frac{2}{3}).
  3. Perform Multiplication: Perform the multiplication.\newlineMultiply the numerators together and the denominators together.\newline(3×2)/(5×3)=6/15(3 \times 2) / (5 \times 3) = 6 / 15.
  4. Simplify Fraction: Simplify the fraction. Both the numerator and the denominator are divisible by 33. 615÷33=25\frac{6}{15} \div \frac{3}{3} = \frac{2}{5}.

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