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Answers.everydaycalculation.com » Compare fractions

Compare 2/5 and 40/54

2/5 is smaller than 40/54

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 54 is 270

    Next, find the equivalent fraction of both fractional numbers with denominator 270
  2. For the 1st fraction, since 5 × 54 = 270,
    2/5 = 2 × 54/5 × 54 = 108/270
  3. Likewise, for the 2nd fraction, since 54 × 5 = 270,
    40/54 = 40 × 5/54 × 5 = 200/270
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 108/270 < 200/270 or 2/5 < 40/54

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