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Add 12/42 and 21/81

12/42 + 21/81 is 103/189.

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,
    12/42 = 12 × 27/42 × 27 = 324/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    21/81 = 21 × 14/81 × 14 = 294/1134
  4. Add the two like fractions:
    324/1134 + 294/1134 = 324 + 294/1134 = 618/1134
  5. 618/1134 simplified gives 103/189
  6. So, 12/42 + 21/81 = 103/189

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