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Compare 20/9 and 84/12

1st number: 2 2/9, 2nd number: 7 0/12

20/9 is smaller than 84/12

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 12 is 36
  2. For the 1st fraction, since 9 × 4 = 36,
    20/9 = 20 × 4/9 × 4 = 80/36
  3. Likewise, for the 2nd fraction, since 12 × 3 = 36,
    84/12 = 84 × 3/12 × 3 = 252/36
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 80/36 < 252/36 or 20/9 < 84/12

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