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Compare 1/7 and 30/16

1st number: 1/7, 2nd number: 1 14/16

1/7 is smaller than 30/16

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 16 is 112
  2. For the 1st fraction, since 7 × 16 = 112,
    1/7 = 1 × 16/7 × 16 = 16/112
  3. Likewise, for the 2nd fraction, since 16 × 7 = 112,
    30/16 = 30 × 7/16 × 7 = 210/112
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 16/112 < 210/112 or 1/7 < 30/16

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