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Compare 1/6 and 6/7

1/6 is smaller than 6/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 6 and 7 is 42
  2. For the 1st fraction, since 6 × 7 = 42,
    1/6 = 1 × 7/6 × 7 = 7/42
  3. Likewise, for the 2nd fraction, since 7 × 6 = 42,
    6/7 = 6 × 6/7 × 6 = 36/42
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 7/42 < 36/42 or 1/6 < 6/7

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