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Compare 30/70 and 42/84

30/70 is smaller than 42/84

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 84 is 420
  2. For the 1st fraction, since 70 × 6 = 420,
    30/70 = 30 × 6/70 × 6 = 180/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    42/84 = 42 × 5/84 × 5 = 210/420
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 180/420 < 210/420 or 30/70 < 42/84

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