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Answers.everydaycalculation.com » Compare fractions

Compare 40/16 and 49/18

1st number: 2 8/16, 2nd number: 2 13/18

40/16 is smaller than 49/18

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 18 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 16 × 9 = 144,
    40/16 = 40 × 9/16 × 9 = 360/144
  3. Likewise, for the 2nd fraction, since 18 × 8 = 144,
    49/18 = 49 × 8/18 × 8 = 392/144
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 360/144 < 392/144 or 40/16 < 49/18

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