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Answers.everydaycalculation.com » Compare fractions

Compare 21/75 and 40/20

1st number: 21/75, 2nd number: 2 0/20

21/75 is smaller than 40/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 20 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 75 × 4 = 300,
    21/75 = 21 × 4/75 × 4 = 84/300
  3. Likewise, for the 2nd fraction, since 20 × 15 = 300,
    40/20 = 40 × 15/20 × 15 = 600/300
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 84/300 < 600/300 or 21/75 < 40/20

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