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Add 30/84 and 18/27

30/84 + 18/27 is 43/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 27 is 756
  2. For the 1st fraction, since 84 × 9 = 756,
    30/84 = 30 × 9/84 × 9 = 270/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    18/27 = 18 × 28/27 × 28 = 504/756
  4. Add the two fractions:
    270/756 + 504/756 = 270 + 504/756 = 774/756
  5. 774/756 simplified gives 43/42
  6. So, 30/84 + 18/27 = 43/42
    In mixed form: 11/42

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