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Add 6/27 and 12/49

6/27 + 12/49 is 206/441.

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,
    6/27 = 6 × 49/27 × 49 = 294/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    12/49 = 12 × 27/49 × 27 = 324/1323
  4. Add the two like fractions:
    294/1323 + 324/1323 = 294 + 324/1323 = 618/1323
  5. 618/1323 simplified gives 206/441
  6. So, 6/27 + 12/49 = 206/441

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