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Answers.everydaycalculation.com » Compare fractions

Compare 28/27 and 75/42

1st number: 1 1/27, 2nd number: 1 33/42

28/27 is smaller than 75/42

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 42 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 27 × 14 = 378,
    28/27 = 28 × 14/27 × 14 = 392/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    75/42 = 75 × 9/42 × 9 = 675/378
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 392/378 < 675/378 or 28/27 < 75/42

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