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Answers.everydaycalculation.com » Compare fractions

Compare 2/30 and 20/40

2/30 is smaller than 20/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 40 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 30 × 4 = 120,
    2/30 = 2 × 4/30 × 4 = 8/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    20/40 = 20 × 3/40 × 3 = 60/120
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 8/120 < 60/120 or 2/30 < 20/40

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