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Answers.everydaycalculation.com » Compare fractions

Compare 54/75 and 40/16

1st number: 54/75, 2nd number: 2 8/16

54/75 is smaller than 40/16

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 16 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    54/75 = 54 × 16/75 × 16 = 864/1200
  3. Likewise, for the 2nd fraction, since 16 × 75 = 1200,
    40/16 = 40 × 75/16 × 75 = 3000/1200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 864/1200 < 3000/1200 or 54/75 < 40/16

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