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Answers.everydaycalculation.com » Compare fractions

Compare 9/96 and 9/75

9/96 is smaller than 9/75

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 75 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 96 × 25 = 2400,
    9/96 = 9 × 25/96 × 25 = 225/2400
  3. Likewise, for the 2nd fraction, since 75 × 32 = 2400,
    9/75 = 9 × 32/75 × 32 = 288/2400
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 225/2400 < 288/2400 or 9/96 < 9/75

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