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Compare 10/30 and 2/40

10/30 is greater than 2/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 40 is 120
  2. For the 1st fraction, since 30 × 4 = 120,
    10/30 = 10 × 4/30 × 4 = 40/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    2/40 = 2 × 3/40 × 3 = 6/120
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 40/120 > 6/120 or 10/30 > 2/40

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