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Add 40/42 and 3/81

40/42 + 3/81 is 187/189.

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,
    40/42 = 40 × 27/42 × 27 = 1080/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    3/81 = 3 × 14/81 × 14 = 42/1134
  4. Add the two like fractions:
    1080/1134 + 42/1134 = 1080 + 42/1134 = 1122/1134
  5. 1122/1134 simplified gives 187/189
  6. So, 40/42 + 3/81 = 187/189

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