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Answers.everydaycalculation.com » Compare fractions

Compare 30/75 and 10/20

30/75 is smaller than 10/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 20 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 75 × 4 = 300,
    30/75 = 30 × 4/75 × 4 = 120/300
  3. Likewise, for the 2nd fraction, since 20 × 15 = 300,
    10/20 = 10 × 15/20 × 15 = 150/300
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 120/300 < 150/300 or 30/75 < 10/20

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