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Add 21/84 and 49/81

21/84 + 49/81 is 277/324.

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,
    21/84 = 21 × 27/84 × 27 = 567/2268
  3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
    49/81 = 49 × 28/81 × 28 = 1372/2268
  4. Add the two like fractions:
    567/2268 + 1372/2268 = 567 + 1372/2268 = 1939/2268
  5. 1939/2268 simplified gives 277/324
  6. So, 21/84 + 49/81 = 277/324

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