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Answers.everydaycalculation.com » Compare fractions

Compare 3/40 and 30/50

3/40 is smaller than 30/50

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 50 is 200

    Next, find the equivalent fraction of both fractional numbers with denominator 200
  2. For the 1st fraction, since 40 × 5 = 200,
    3/40 = 3 × 5/40 × 5 = 15/200
  3. Likewise, for the 2nd fraction, since 50 × 4 = 200,
    30/50 = 30 × 4/50 × 4 = 120/200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 15/200 < 120/200 or 3/40 < 30/50

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