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Answers.everydaycalculation.com » Compare fractions

Compare 21/4 and 27/5

1st number: 5 1/4, 2nd number: 5 2/5

21/4 is smaller than 27/5

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 5 is 20

    Next, find the equivalent fraction of both fractional numbers with denominator 20
  2. For the 1st fraction, since 4 × 5 = 20,
    21/4 = 21 × 5/4 × 5 = 105/20
  3. Likewise, for the 2nd fraction, since 5 × 4 = 20,
    27/5 = 27 × 4/5 × 4 = 108/20
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 105/20 < 108/20 or 21/4 < 27/5

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