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Answers.everydaycalculation.com » Compare fractions

Compare 70/24 and 40/9

1st number: 2 22/24, 2nd number: 4 4/9

70/24 is smaller than 40/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 24 and 9 is 72

    Next, find the equivalent fraction of both fractional numbers with denominator 72
  2. For the 1st fraction, since 24 × 3 = 72,
    70/24 = 70 × 3/24 × 3 = 210/72
  3. Likewise, for the 2nd fraction, since 9 × 8 = 72,
    40/9 = 40 × 8/9 × 8 = 320/72
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 210/72 < 320/72 or 70/24 < 40/9

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