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Compare 6/40 and 10/50

6/40 is smaller than 10/50

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 50 is 200
  2. For the 1st fraction, since 40 × 5 = 200,
    6/40 = 6 × 5/40 × 5 = 30/200
  3. Likewise, for the 2nd fraction, since 50 × 4 = 200,
    10/50 = 10 × 4/50 × 4 = 40/200
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 30/200 < 40/200 or 6/40 < 10/50

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