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Answers.everydaycalculation.com » Compare fractions

Compare 40/75 and 45/80

40/75 is smaller than 45/80

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 80 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    40/75 = 40 × 16/75 × 16 = 640/1200
  3. Likewise, for the 2nd fraction, since 80 × 15 = 1200,
    45/80 = 45 × 15/80 × 15 = 675/1200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 640/1200 < 675/1200 or 40/75 < 45/80

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