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Add 14/27 and 7/49

14/27 + 7/49 is 125/189.

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,
    14/27 = 14 × 49/27 × 49 = 686/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    7/49 = 7 × 27/49 × 27 = 189/1323
  4. Add the two like fractions:
    686/1323 + 189/1323 = 686 + 189/1323 = 875/1323
  5. 875/1323 simplified gives 125/189
  6. So, 14/27 + 7/49 = 125/189

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