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Answers.everydaycalculation.com » Compare fractions

Compare 1/40 and 30/14

1st number: 1/40, 2nd number: 2 2/14

1/40 is smaller than 30/14

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 14 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    1/40 = 1 × 7/40 × 7 = 7/280
  3. Likewise, for the 2nd fraction, since 14 × 20 = 280,
    30/14 = 30 × 20/14 × 20 = 600/280
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 7/280 < 600/280 or 1/40 < 30/14

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