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Answers.everydaycalculation.com » Compare fractions

Compare 15/75 and 40/30

1st number: 15/75, 2nd number: 1 10/30

15/75 is smaller than 40/30

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 30 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 75 × 2 = 150,
    15/75 = 15 × 2/75 × 2 = 30/150
  3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
    40/30 = 40 × 5/30 × 5 = 200/150
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 30/150 < 200/150 or 15/75 < 40/30

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