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Answers.everydaycalculation.com » Compare fractions

Compare 75/42 and 30/9

1st number: 1 33/42, 2nd number: 3 3/9

75/42 is smaller than 30/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 9 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 42 × 3 = 126,
    75/42 = 75 × 3/42 × 3 = 225/126
  3. Likewise, for the 2nd fraction, since 9 × 14 = 126,
    30/9 = 30 × 14/9 × 14 = 420/126
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 225/126 < 420/126 or 75/42 < 30/9

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