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Add 1/27 and 21/84

1/27 + 21/84 is 31/108.

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,
    1/27 = 1 × 28/27 × 28 = 28/756
  3. Likewise, for the 2nd fraction, since 84 × 9 = 756,
    21/84 = 21 × 9/84 × 9 = 189/756
  4. Add the two like fractions:
    28/756 + 189/756 = 28 + 189/756 = 217/756
  5. 217/756 simplified gives 31/108
  6. So, 1/27 + 21/84 = 31/108

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