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Answers.everydaycalculation.com » Compare fractions

Compare 3/12 and 27/75

3/12 is smaller than 27/75

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 75 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 12 × 25 = 300,
    3/12 = 3 × 25/12 × 25 = 75/300
  3. Likewise, for the 2nd fraction, since 75 × 4 = 300,
    27/75 = 27 × 4/75 × 4 = 108/300
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 75/300 < 108/300 or 3/12 < 27/75

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