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Answers.everydaycalculation.com » Compare fractions

Compare 2/3 and 7/4

1st number: 2/3, 2nd number: 1 3/4

2/3 is smaller than 7/4

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 4 is 12

    Next, find the equivalent fraction of both fractional numbers with denominator 12
  2. For the 1st fraction, since 3 × 4 = 12,
    2/3 = 2 × 4/3 × 4 = 8/12
  3. Likewise, for the 2nd fraction, since 4 × 3 = 12,
    7/4 = 7 × 3/4 × 3 = 21/12
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 8/12 < 21/12 or 2/3 < 7/4

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