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Add 12/21 and 28/49

12/21 + 28/49 is 8/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 49 is 147

    Next, find the equivalent fraction of both fractional numbers with denominator 147
  2. For the 1st fraction, since 21 × 7 = 147,
    12/21 = 12 × 7/21 × 7 = 84/147
  3. Likewise, for the 2nd fraction, since 49 × 3 = 147,
    28/49 = 28 × 3/49 × 3 = 84/147
  4. Add the two like fractions:
    84/147 + 84/147 = 84 + 84/147 = 168/147
  5. 168/147 simplified gives 8/7
  6. So, 12/21 + 28/49 = 8/7
    In mixed form: 11/7

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