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Add 36/81 and 27/42

36/81 + 27/42 is 137/126.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 81 and 42 is 1134

    Next, find the equivalent fraction of both fractional numbers with denominator 1134
  2. For the 1st fraction, since 81 × 14 = 1134,
    36/81 = 36 × 14/81 × 14 = 504/1134
  3. Likewise, for the 2nd fraction, since 42 × 27 = 1134,
    27/42 = 27 × 27/42 × 27 = 729/1134
  4. Add the two like fractions:
    504/1134 + 729/1134 = 504 + 729/1134 = 1233/1134
  5. 1233/1134 simplified gives 137/126
  6. So, 36/81 + 27/42 = 137/126
    In mixed form: 111/126

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