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Answers.everydaycalculation.com » Compare fractions

Compare 2/15 and 12/40

2/15 is smaller than 12/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 40 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 15 × 8 = 120,
    2/15 = 2 × 8/15 × 8 = 16/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    12/40 = 12 × 3/40 × 3 = 36/120
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 16/120 < 36/120 or 2/15 < 12/40

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