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Add 45/84 and 21/27

45/84 + 21/27 is 331/252.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 756
  2. For the 1st fraction, since 84 × 9 = 756,
    45/84 = 45 × 9/84 × 9 = 405/756
  3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
    21/27 = 21 × 28/27 × 28 = 588/756
  4. Add the two like fractions:
    405/756 + 588/756 = 405 + 588/756 = 993/756
  5. 993/756 simplified gives 331/252
  6. So, 45/84 + 21/27 = 331/252
    In mixed form: 179/252

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