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Answers.everydaycalculation.com » Compare fractions

Compare 18/9 and 81/40

1st number: 2 0/9, 2nd number: 2 1/40

18/9 is smaller than 81/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 9 × 40 = 360,
    18/9 = 18 × 40/9 × 40 = 720/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    81/40 = 81 × 9/40 × 9 = 729/360
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 720/360 < 729/360 or 18/9 < 81/40

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