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Compare 1/7 and 27/8

1st number: 1/7, 2nd number: 3 3/8

1/7 is smaller than 27/8

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 8 is 56
  2. For the 1st fraction, since 7 × 8 = 56,
    1/7 = 1 × 8/7 × 8 = 8/56
  3. Likewise, for the 2nd fraction, since 8 × 7 = 56,
    27/8 = 27 × 7/8 × 7 = 189/56
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 8/56 < 189/56 or 1/7 < 27/8

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