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Answers.everydaycalculation.com » Compare fractions

Compare 10/3 and 6/7

1st number: 3 1/3, 2nd number: 6/7

10/3 is greater than 6/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 7 is 21

    Next, find the equivalent fraction of both fractional numbers with denominator 21
  2. For the 1st fraction, since 3 × 7 = 21,
    10/3 = 10 × 7/3 × 7 = 70/21
  3. Likewise, for the 2nd fraction, since 7 × 3 = 21,
    6/7 = 6 × 3/7 × 3 = 18/21
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 70/21 > 18/21 or 10/3 > 6/7

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