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Add 12/21 and 27/36

12/21 + 27/36 is 37/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 36 is 252
  2. For the 1st fraction, since 21 × 12 = 252,
    12/21 = 12 × 12/21 × 12 = 144/252
  3. Likewise, for the 2nd fraction, since 36 × 7 = 252,
    27/36 = 27 × 7/36 × 7 = 189/252
  4. Add the two fractions:
    144/252 + 189/252 = 144 + 189/252 = 333/252
  5. 333/252 simplified gives 37/28
  6. So, 12/21 + 27/36 = 37/28
    In mixed form: 19/28

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