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Compare 3/7 and 25/40

3/7 is smaller than 25/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 7 and 40 is 280
  2. For the 1st fraction, since 7 × 40 = 280,
    3/7 = 3 × 40/7 × 40 = 120/280
  3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
    25/40 = 25 × 7/40 × 7 = 175/280
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 120/280 < 175/280 or 3/7 < 25/40

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