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Add 28/49 and 21/27

28/49 + 21/27 is 85/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 27 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 49 × 27 = 1323,
    28/49 = 28 × 27/49 × 27 = 756/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    21/27 = 21 × 49/27 × 49 = 1029/1323
  4. Add the two like fractions:
    756/1323 + 1029/1323 = 756 + 1029/1323 = 1785/1323
  5. 1785/1323 simplified gives 85/63
  6. So, 28/49 + 21/27 = 85/63
    In mixed form: 122/63

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