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Add 8/27 and 30/42

8/27 + 30/42 is 191/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 42 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 27 × 14 = 378,
    8/27 = 8 × 14/27 × 14 = 112/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    30/42 = 30 × 9/42 × 9 = 270/378
  4. Add the two like fractions:
    112/378 + 270/378 = 112 + 270/378 = 382/378
  5. 382/378 simplified gives 191/189
  6. So, 8/27 + 30/42 = 191/189
    In mixed form: 12/189

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