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Answers.everydaycalculation.com » Compare fractions

Compare 30/21 and 49/30

1st number: 1 9/21, 2nd number: 1 19/30

30/21 is smaller than 49/30

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 30 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 21 × 10 = 210,
    30/21 = 30 × 10/21 × 10 = 300/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    49/30 = 49 × 7/30 × 7 = 343/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 300/210 < 343/210 or 30/21 < 49/30

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