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Answers.everydaycalculation.com » Compare fractions

Compare 5/4 and 28/9

1st number: 1 1/4, 2nd number: 3 1/9

5/4 is smaller than 28/9

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,
    5/4 = 5 × 9/4 × 9 = 45/36
  3. Likewise, for the 2nd fraction, since 9 × 4 = 36,
    28/9 = 28 × 4/9 × 4 = 112/36
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 45/36 < 112/36 or 5/4 < 28/9

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