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Answers.everydaycalculation.com » Compare fractions

Compare 40/75 and 60/56

1st number: 40/75, 2nd number: 1 4/56

40/75 is smaller than 60/56

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,
    40/75 = 40 × 56/75 × 56 = 2240/4200
  3. Likewise, for the 2nd fraction, since 56 × 75 = 4200,
    60/56 = 60 × 75/56 × 75 = 4500/4200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 2240/4200 < 4500/4200 or 40/75 < 60/56

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