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Answers.everydaycalculation.com » Compare fractions

Compare 27/75 and 40/64

27/75 is smaller than 40/64

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 64 is 4800

    Next, find the equivalent fraction of both fractional numbers with denominator 4800
  2. For the 1st fraction, since 75 × 64 = 4800,
    27/75 = 27 × 64/75 × 64 = 1728/4800
  3. Likewise, for the 2nd fraction, since 64 × 75 = 4800,
    40/64 = 40 × 75/64 × 75 = 3000/4800
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 1728/4800 < 3000/4800 or 27/75 < 40/64

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