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Answers.everydaycalculation.com » Compare fractions

Compare 10/75 and 12/42

10/75 is smaller than 12/42

Steps for comparing fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    10/75 = 10 × 14/75 × 14 = 140/1050
  3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
    12/42 = 12 × 25/42 × 25 = 300/1050
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 140/1050 < 300/1050 or 10/75 < 12/42

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