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Add 42/84 and 40/81

42/84 + 40/81 is 161/162.

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,
    42/84 = 42 × 27/84 × 27 = 1134/2268
  3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
    40/81 = 40 × 28/81 × 28 = 1120/2268
  4. Add the two like fractions:
    1134/2268 + 1120/2268 = 1134 + 1120/2268 = 2254/2268
  5. 2254/2268 simplified gives 161/162
  6. So, 42/84 + 40/81 = 161/162

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