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Answers.everydaycalculation.com » Compare fractions

Compare 1/28 and 49/30

1st number: 1/28, 2nd number: 1 19/30

1/28 is smaller than 49/30

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 30 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 28 × 15 = 420,
    1/28 = 1 × 15/28 × 15 = 15/420
  3. Likewise, for the 2nd fraction, since 30 × 14 = 420,
    49/30 = 49 × 14/30 × 14 = 686/420
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 15/420 < 686/420 or 1/28 < 49/30

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