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Answers.everydaycalculation.com » Compare fractions

Compare 3/75 and 80/30

1st number: 3/75, 2nd number: 2 20/30

3/75 is smaller than 80/30

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,
    3/75 = 3 × 2/75 × 2 = 6/150
  3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
    80/30 = 80 × 5/30 × 5 = 400/150
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 6/150 < 400/150 or 3/75 < 80/30

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