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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

((3)/(7))/((4)/(5))
Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline3745 \frac{\frac{3}{7}}{\frac{4}{5}} \newlineAnswer:

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline3745 \frac{\frac{3}{7}}{\frac{4}{5}} \newlineAnswer:
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to divide the fraction (3/7)(3/7) by the fraction (4/5)(4/5). In mathematical terms, this is written as (3/7)÷(4/5)(3/7) \div (4/5).
  2. Rewrite as Multiplication: Rewrite the division of fractions as multiplication by the reciprocal.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of (45)(\frac{4}{5}) is (54)(\frac{5}{4}).\newlineSo, 3745\frac{\frac{3}{7}}{\frac{4}{5}} becomes 37×54\frac{3}{7} \times \frac{5}{4}.
  3. Perform Multiplication: Perform the multiplication.\newlineNow, multiply the numerators and then the denominators.\newline(3×5)/(7×4)=15/28(3 \times 5) / (7 \times 4) = 15 / 28
  4. Reduce Fraction: Reduce the fraction, if possible.\newlineCheck if the fraction 1528\frac{15}{28} can be simplified. Since 1515 and 2828 have no common factors other than 11, the fraction is already in its simplest form.

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