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Compare 1/30 and 21/16

1st number: 1/30, 2nd number: 1 5/16

1/30 is smaller than 21/16

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 16 is 240
  2. For the 1st fraction, since 30 × 8 = 240,
    1/30 = 1 × 8/30 × 8 = 8/240
  3. Likewise, for the 2nd fraction, since 16 × 15 = 240,
    21/16 = 21 × 15/16 × 15 = 315/240
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 8/240 < 315/240 or 1/30 < 21/16

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