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Answers.everydaycalculation.com » Compare fractions

Compare 3/10 and 9/4

1st number: 3/10, 2nd number: 2 1/4

3/10 is smaller than 9/4

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 4 is 20

    Next, find the equivalent fraction of both fractional numbers with denominator 20
  2. For the 1st fraction, since 10 × 2 = 20,
    3/10 = 3 × 2/10 × 2 = 6/20
  3. Likewise, for the 2nd fraction, since 4 × 5 = 20,
    9/4 = 9 × 5/4 × 5 = 45/20
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 6/20 < 45/20 or 3/10 < 9/4

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