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Answers.everydaycalculation.com » Compare fractions

Compare 7/2 and 2/3

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

7/2 is greater than 2/3

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 3 is 6

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

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