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Answers.everydaycalculation.com » Compare fractions

Compare 3/8 and 20/9

1st number: 3/8, 2nd number: 2 2/9

3/8 is smaller than 20/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 9 is 72

    Next, find the equivalent fraction of both fractional numbers with denominator 72
  2. For the 1st fraction, since 8 × 9 = 72,
    3/8 = 3 × 9/8 × 9 = 27/72
  3. Likewise, for the 2nd fraction, since 9 × 8 = 72,
    20/9 = 20 × 8/9 × 8 = 160/72
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 27/72 < 160/72 or 3/8 < 20/9

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