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Answers.everydaycalculation.com » Compare fractions

Compare 40/48 and 30/9

1st number: 40/48, 2nd number: 3 3/9

40/48 is smaller than 30/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 48 and 9 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 48 × 3 = 144,
    40/48 = 40 × 3/48 × 3 = 120/144
  3. Likewise, for the 2nd fraction, since 9 × 16 = 144,
    30/9 = 30 × 16/9 × 16 = 480/144
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 120/144 < 480/144 or 40/48 < 30/9

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