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Compare 9/75 and 8/20

9/75 is smaller than 8/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 20 is 300
  2. For the 1st fraction, since 75 × 4 = 300,
    9/75 = 9 × 4/75 × 4 = 36/300
  3. Likewise, for the 2nd fraction, since 20 × 15 = 300,
    8/20 = 8 × 15/20 × 15 = 120/300
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 36/300 < 120/300 or 9/75 < 8/20

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