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Compare 6/28 and 30/40

6/28 is smaller than 30/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 40 is 280
  2. For the 1st fraction, since 28 × 10 = 280,
    6/28 = 6 × 10/28 × 10 = 60/280
  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. 60/280 < 210/280 or 6/28 < 30/40

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