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Compare 6/42 and 30/40

6/42 is smaller than 30/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840
  2. For the 1st fraction, since 42 × 20 = 840,
    6/42 = 6 × 20/42 × 20 = 120/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 120/840 < 630/840 or 6/42 < 30/40

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