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Answers.everydaycalculation.com » Compare fractions

Compare 45/84 and 84/40

1st number: 45/84, 2nd number: 2 4/40

45/84 is smaller than 84/40

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 40 is 840
  2. For the 1st fraction, since 84 × 10 = 840,
    45/84 = 45 × 10/84 × 10 = 450/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    84/40 = 84 × 21/40 × 21 = 1764/840
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 450/840 < 1764/840 or 45/84 < 84/40

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