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Answers.everydaycalculation.com » Compare fractions

Compare 1/15 and 40/9

1st number: 1/15, 2nd number: 4 4/9

1/15 is smaller than 40/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 9 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 15 × 3 = 45,
    1/15 = 1 × 3/15 × 3 = 3/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    40/9 = 40 × 5/9 × 5 = 200/45
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 3/45 < 200/45 or 1/15 < 40/9

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