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Answers.everydaycalculation.com » Compare fractions

Compare 40/15 and 27/7

1st number: 2 10/15, 2nd number: 3 6/7

40/15 is smaller than 27/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 7 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 15 × 7 = 105,
    40/15 = 40 × 7/15 × 7 = 280/105
  3. Likewise, for the 2nd fraction, since 7 × 15 = 105,
    27/7 = 27 × 15/7 × 15 = 405/105
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 280/105 < 405/105 or 40/15 < 27/7

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