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Answers.everydaycalculation.com » Compare fractions

Compare 10/6 and 75/9

1st number: 1 4/6, 2nd number: 8 3/9

10/6 is smaller than 75/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 6 and 9 is 18

    Next, find the equivalent fraction of both fractional numbers with denominator 18
  2. For the 1st fraction, since 6 × 3 = 18,
    10/6 = 10 × 3/6 × 3 = 30/18
  3. Likewise, for the 2nd fraction, since 9 × 2 = 18,
    75/9 = 75 × 2/9 × 2 = 150/18
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 30/18 < 150/18 or 10/6 < 75/9

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