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Answers.everydaycalculation.com » Compare fractions

Compare 8/21 and 42/84

8/21 is smaller than 42/84

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 84 is 84

    Next, find the equivalent fraction of both fractional numbers with denominator 84
  2. For the 1st fraction, since 21 × 4 = 84,
    8/21 = 8 × 4/21 × 4 = 32/84
  3. Likewise, for the 2nd fraction, since 84 × 1 = 84,
    42/84 = 42 × 1/84 × 1 = 42/84
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 32/84 < 42/84 or 8/21 < 42/84

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