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Add 10/84 and 36/81

10/84 + 36/81 is 71/126.

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,
    10/84 = 10 × 27/84 × 27 = 270/2268
  3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
    36/81 = 36 × 28/81 × 28 = 1008/2268
  4. Add the two like fractions:
    270/2268 + 1008/2268 = 270 + 1008/2268 = 1278/2268
  5. 1278/2268 simplified gives 71/126
  6. So, 10/84 + 36/81 = 71/126

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