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Compare 2/9 and 8/20

2/9 is smaller than 8/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 20 is 180
  2. For the 1st fraction, since 9 × 20 = 180,
    2/9 = 2 × 20/9 × 20 = 40/180
  3. Likewise, for the 2nd fraction, since 20 × 9 = 180,
    8/20 = 8 × 9/20 × 9 = 72/180
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 40/180 < 72/180 or 2/9 < 8/20

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