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Add 8/27 and 21/49

8/27 + 21/49 is 137/189.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 27 × 49 = 1323,
    8/27 = 8 × 49/27 × 49 = 392/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    21/49 = 21 × 27/49 × 27 = 567/1323
  4. Add the two like fractions:
    392/1323 + 567/1323 = 392 + 567/1323 = 959/1323
  5. 959/1323 simplified gives 137/189
  6. So, 8/27 + 21/49 = 137/189

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