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Answers.everydaycalculation.com » Compare fractions

Compare 40/60 and 75/84

40/60 is smaller than 75/84

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 60 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 60 × 7 = 420,
    40/60 = 40 × 7/60 × 7 = 280/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    75/84 = 75 × 5/84 × 5 = 375/420
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 280/420 < 375/420 or 40/60 < 75/84

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