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Answers.everydaycalculation.com » Compare fractions

Compare 81/75 and 80/56

1st number: 1 6/75, 2nd number: 1 24/56

81/75 is smaller than 80/56

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 56 is 4200

    Next, find the equivalent fraction of both fractional numbers with denominator 4200
  2. For the 1st fraction, since 75 × 56 = 4200,
    81/75 = 81 × 56/75 × 56 = 4536/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    80/56 = 80 × 75/56 × 75 = 6000/4200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 4536/4200 < 6000/4200 or 81/75 < 80/56

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