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Answers.everydaycalculation.com » Compare fractions

Compare 7/2 and 40/9

1st number: 3 1/2, 2nd number: 4 4/9

7/2 is smaller than 40/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 9 is 18

    Next, find the equivalent fraction of both fractional numbers with denominator 18
  2. For the 1st fraction, since 2 × 9 = 18,
    7/2 = 7 × 9/2 × 9 = 63/18
  3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
    40/9 = 40 × 2/9 × 2 = 80/18
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 63/18 < 80/18 or 7/2 < 40/9

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