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Compare 3/40 and 9/75

3/40 is smaller than 9/75

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 75 is 600
  2. For the 1st fraction, since 40 × 15 = 600,
    3/40 = 3 × 15/40 × 15 = 45/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    9/75 = 9 × 8/75 × 8 = 72/600
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 45/600 < 72/600 or 3/40 < 9/75

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