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Multiply the fractions: 16/18 * 22/10.

Mathematics

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Answer

8845\frac{88}{45}

Step-by-step solution

3 steps

Here's the solution for the fraction multiplication problem.

1618×2210\frac{16}{18} \times \frac{22}{10}
  1. Simplify by cross-cancellation.

    • We can simplify 16 (numerator of the first fraction) and 10 (denominator of the second fraction) by dividing both by their common factor, 2.
    16÷2=816 \div 2 = 8 10÷2=510 \div 2 = 5

    The expression becomes:

    818×225\frac{8}{18} \times \frac{22}{5}
    • We can simplify 22 (numerator of the second fraction) and 18 (denominator of the first fraction) by dividing both by their common factor, 2.
    22÷2=1122 \div 2 = 11 18÷2=918 \div 2 = 9

    The expression now becomes:

    89×115\frac{8}{9} \times \frac{11}{5}
  2. Multiply the numerators together and the denominators together.

    8×119×5=8845\frac{8 \times 11}{9 \times 5} = \frac{88}{45}
  3. The fraction 8845\frac{88}{45} is an improper fraction and is already in its simplest form, as 88 and 45 share no common factors other than 1.

    The result is 8845\frac{88}{45}.

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