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Add 27/42 and 30/81

27/42 + 30/81 is 383/378.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1134
  2. For the 1st fraction, since 42 × 27 = 1134,
    27/42 = 27 × 27/42 × 27 = 729/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    30/81 = 30 × 14/81 × 14 = 420/1134
  4. Add the two like fractions:
    729/1134 + 420/1134 = 729 + 420/1134 = 1149/1134
  5. 1149/1134 simplified gives 383/378
  6. So, 27/42 + 30/81 = 383/378
    In mixed form: 15/378

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