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Compare 6/14 and 30/40

6/14 is smaller than 30/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 40 is 280
  2. For the 1st fraction, since 14 × 20 = 280,
    6/14 = 6 × 20/14 × 20 = 120/280
  3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
    30/40 = 30 × 7/40 × 7 = 210/280
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 120/280 < 210/280 or 6/14 < 30/40

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