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Compare 1/3 and 6/7

1/3 is smaller 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
  2. For the 1st fraction, since 3 × 7 = 21,
    1/3 = 1 × 7/3 × 7 = 7/21
  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. 7/21 < 18/21 or 1/3 < 6/7

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