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Answers.everydaycalculation.com » Compare fractions

Compare 42/40 and 40/3

1st number: 1 2/40, 2nd number: 13 1/3

42/40 is smaller than 40/3

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 3 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 40 × 3 = 120,
    42/40 = 42 × 3/40 × 3 = 126/120
  3. Likewise, for the 2nd fraction, since 3 × 40 = 120,
    40/3 = 40 × 40/3 × 40 = 1600/120
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 126/120 < 1600/120 or 42/40 < 40/3

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