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Answers.everydaycalculation.com » Compare fractions

Compare 16/40 and 54/49

1st number: 16/40, 2nd number: 1 5/49

16/40 is smaller than 54/49

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 49 is 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    16/40 = 16 × 49/40 × 49 = 784/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    54/49 = 54 × 40/49 × 40 = 2160/1960
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 784/1960 < 2160/1960 or 16/40 < 54/49

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