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Add 27/42 and 60/81

27/42 + 60/81 is 523/378.

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,
    60/81 = 60 × 14/81 × 14 = 840/1134
  4. Add the two like fractions:
    729/1134 + 840/1134 = 729 + 840/1134 = 1569/1134
  5. 1569/1134 simplified gives 523/378
  6. So, 27/42 + 60/81 = 523/378
    In mixed form: 1145/378

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