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Answers.everydaycalculation.com » Compare fractions

Compare 10/21 and 84/45

1st number: 10/21, 2nd number: 1 39/45

10/21 is smaller than 84/45

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    10/21 = 10 × 15/21 × 15 = 150/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    84/45 = 84 × 7/45 × 7 = 588/315
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 150/315 < 588/315 or 10/21 < 84/45

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