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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (2)/(5)×(1)/(4) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline25×14 \frac{2}{5} \times \frac{1}{4} \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.\newline25×14 \frac{2}{5} \times \frac{1}{4} \newlineAnswer:
  1. Multiply Numerators: Multiply the numerators of the two fractions.\newline(25)×(14)=(2×15×4)(\frac{2}{5}) \times (\frac{1}{4}) = (\frac{2 \times 1}{5 \times 4})\newlineCalculation: 2×1=22 \times 1 = 2
  2. Multiply Denominators: Multiply the denominators of the two fractions.\newline(2×1)/(5×4)=2/(5×4)(2 \times 1) / (5 \times 4) = 2 / (5 \times 4)\newlineCalculation: 5×4=205 \times 4 = 20
  3. Write Simplified Fraction: Write the result as a simplified fraction. \newline220\frac{2}{20}\newlineSince 22 and 2020 have a common factor of 22, we can simplify the fraction by dividing both the numerator and the denominator by 22.\newlineCalculation: 2÷2=12 \div 2 = 1 and 20÷2=1020 \div 2 = 10
  4. Final Answer: The simplified fraction is 110\frac{1}{10}.\newlineFinal Answer: 110\frac{1}{10}

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