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Compare 2/45 and 18/84

2/45 is smaller than 18/84

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 84 is 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    2/45 = 2 × 28/45 × 28 = 56/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    18/84 = 18 × 15/84 × 15 = 270/1260
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 56/1260 < 270/1260 or 2/45 < 18/84

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