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Compare 3/20 and 8/9

3/20 is smaller than 8/9

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 9 is 180
  2. For the 1st fraction, since 20 × 9 = 180,
    3/20 = 3 × 9/20 × 9 = 27/180
  3. Likewise, for the 2nd fraction, since 9 × 20 = 180,
    8/9 = 8 × 20/9 × 20 = 160/180
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 27/180 < 160/180 or 3/20 < 8/9

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