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Add 10/49 and 12/27

10/49 + 12/27 is 286/441.

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,
    10/49 = 10 × 27/49 × 27 = 270/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    12/27 = 12 × 49/27 × 49 = 588/1323
  4. Add the two like fractions:
    270/1323 + 588/1323 = 270 + 588/1323 = 858/1323
  5. 858/1323 simplified gives 286/441
  6. So, 10/49 + 12/27 = 286/441

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