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Answers.everydaycalculation.com » Compare fractions

Compare 9/4 and 20/9

1st number: 2 1/4, 2nd number: 2 2/9

9/4 is greater than 20/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 9 is 36

    Next, find the equivalent fraction of both fractional numbers with denominator 36
  2. For the 1st fraction, since 4 × 9 = 36,
    9/4 = 9 × 9/4 × 9 = 81/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    20/9 = 20 × 4/9 × 4 = 80/36
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 81/36 > 80/36 or 9/4 > 20/9

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