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Solve the fraction multiplication: 5/4 * 20/16

Mathematics

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Answer

2516\frac{25}{16}

Step-by-step solution

3 steps

Here's the solution for the fraction multiplication problem.

54×2016\frac{5}{4} \times \frac{20}{16}
  1. Simplify by cross-cancellation.

    • We can simplify 20 (numerator of the second fraction) and 4 (denominator of the first fraction) by dividing both by their common factor, 4.
    20÷4=520 \div 4 = 5 4÷4=14 \div 4 = 1

    The expression now becomes:

    51×516\frac{5}{1} \times \frac{5}{16}
  2. Multiply the numerators together and the denominators together.

    5×51×16=2516\frac{5 \times 5}{1 \times 16} = \frac{25}{16}
  3. The fraction 2516\frac{25}{16} is an improper fraction and is already in its simplest form, as 25 and 16 share no common factors other than 1.

    The result is 2516\frac{25}{16}.

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