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Add 3/84 and 21/81

3/84 + 21/81 is 223/756.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 81 is 2268

    Next, find the equivalent fraction of both fractional numbers with denominator 2268
  2. For the 1st fraction, since 84 × 27 = 2268,
    3/84 = 3 × 27/84 × 27 = 81/2268
  3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
    21/81 = 21 × 28/81 × 28 = 588/2268
  4. Add the two like fractions:
    81/2268 + 588/2268 = 81 + 588/2268 = 669/2268
  5. 669/2268 simplified gives 223/756
  6. So, 3/84 + 21/81 = 223/756

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