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Answers.everydaycalculation.com » Compare fractions

Compare 9/18 and 21/40

9/18 is smaller than 21/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 18 × 20 = 360,
    9/18 = 9 × 20/18 × 20 = 180/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    21/40 = 21 × 9/40 × 9 = 189/360
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 180/360 < 189/360 or 9/18 < 21/40

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