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Answers.everydaycalculation.com » Compare fractions

Compare 10/75 and 20/96

10/75 is smaller than 20/96

Steps for comparing fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    10/75 = 10 × 32/75 × 32 = 320/2400
  3. Likewise, for the 2nd fraction, since 96 × 25 = 2400,
    20/96 = 20 × 25/96 × 25 = 500/2400
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 320/2400 < 500/2400 or 10/75 < 20/96

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