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Answers.everydaycalculation.com » Compare fractions

Compare 40/84 and 90/49

1st number: 40/84, 2nd number: 1 41/49

40/84 is smaller than 90/49

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 49 is 588

    Next, find the equivalent fraction of both fractional numbers with denominator 588
  2. For the 1st fraction, since 84 × 7 = 588,
    40/84 = 40 × 7/84 × 7 = 280/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    90/49 = 90 × 12/49 × 12 = 1080/588
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 280/588 < 1080/588 or 40/84 < 90/49

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