Multiplying Fractions Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

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Compute 49ร—38\frac{4}{9} \times \frac{3}{8}.

Solution

  1. 1
    Look for common factors to cross-cancel before multiplying: in 49ร—38\frac{4}{9} \times \frac{3}{8}, the 4 (numerator) and 8 (denominator) share a factor of 4.
  2. 2
    Cancel 44 and 88 to get 19ร—32\frac{1}{9} \times \frac{3}{2}. Then cancel 33 and 99 (factor of 3): 13ร—12\frac{1}{3} \times \frac{1}{2}.
  3. 3
    Multiply the simplified fractions: 1ร—13ร—2=16\frac{1 \times 1}{3 \times 2} = \frac{1}{6}

Answer

16\frac{1}{6}
Cross-cancelling before multiplying avoids large numbers and the need to simplify afterwards. You can cancel any common factor between a numerator and a denominator from different fractions.

About Multiplying Fractions

To multiply fractions, multiply the numerators together and the denominators together: abร—cd=aร—cbร—d\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}. Simplify the result by cancelling common factors.

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