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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (2)/(5)÷(7)/(5) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline25÷75 \frac{2}{5} \div \frac{7}{5} \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.\newline25÷75 \frac{2}{5} \div \frac{7}{5} \newlineAnswer:
  1. Identify Division: Identify the division of two fractions. To divide by a fraction, you multiply by its reciprocal.\newlineCalculation: (25)÷(75)=(25)×(57)(\frac{2}{5}) \div (\frac{7}{5}) = (\frac{2}{5}) \times (\frac{5}{7})
  2. Multiply Numerators and Denominators: Multiply the numerators and multiply the denominators.\newlineCalculation: (2×5)/(5×7)=10/35(2 \times 5) / (5 \times 7) = 10 / 35
  3. Simplify Fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 1010 and 3535 is 55.\newlineCalculation: 1035÷55=(10÷535÷5)=27\frac{10}{35} \div \frac{5}{5} = \left(\frac{10 \div 5}{35 \div 5}\right) = \frac{2}{7}

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