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Answers.everydaycalculation.com » Compare fractions

Compare 30/42 and 90/75

1st number: 30/42, 2nd number: 1 15/75

30/42 is smaller than 90/75

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    30/42 = 30 × 25/42 × 25 = 750/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    90/75 = 90 × 14/75 × 14 = 1260/1050
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 750/1050 < 1260/1050 or 30/42 < 90/75

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