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Add 16/27 and 35/84

16/27 + 35/84 is 109/108.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 84 is 756

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 27 × 28 = 756,
    16/27 = 16 × 28/27 × 28 = 448/756
  3. Likewise, for the 2nd fraction, since 84 × 9 = 756,
    35/84 = 35 × 9/84 × 9 = 315/756
  4. Add the two like fractions:
    448/756 + 315/756 = 448 + 315/756 = 763/756
  5. 763/756 simplified gives 109/108
  6. So, 16/27 + 35/84 = 109/108
    In mixed form: 11/108

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