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Compare 2/3 and 5/7

2/3 is smaller than 5/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 7 is 21
  2. For the 1st fraction, since 3 × 7 = 21,
    2/3 = 2 × 7/3 × 7 = 14/21
  3. Likewise, for the 2nd fraction, since 7 × 3 = 21,
    5/7 = 5 × 3/7 × 3 = 15/21
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 14/21 < 15/21 or 2/3 < 5/7

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