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Compare 3/10 and 16/40

3/10 is smaller than 16/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 40 is 40
  2. For the 1st fraction, since 10 × 4 = 40,
    3/10 = 3 × 4/10 × 4 = 12/40
  3. Likewise, for the 2nd fraction, since 40 × 1 = 40,
    16/40 = 16 × 1/40 × 1 = 16/40
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 12/40 < 16/40 or 3/10 < 16/40

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