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Compare 15/84 and 42/20

1st number: 15/84, 2nd number: 2 2/20

15/84 is smaller than 42/20

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 20 is 420
  2. For the 1st fraction, since 84 × 5 = 420,
    15/84 = 15 × 5/84 × 5 = 75/420
  3. Likewise, for the 2nd fraction, since 20 × 21 = 420,
    42/20 = 42 × 21/20 × 21 = 882/420
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 75/420 < 882/420 or 15/84 < 42/20

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