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Add 7/27 and 40/56

7/27 + 40/56 is 184/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 56 is 1512

    Next, find the equivalent fraction of both fractional numbers with denominator 1512
  2. For the 1st fraction, since 27 × 56 = 1512,
    7/27 = 7 × 56/27 × 56 = 392/1512
  3. Likewise, for the 2nd fraction, since 56 × 27 = 1512,
    40/56 = 40 × 27/56 × 27 = 1080/1512
  4. Add the two like fractions:
    392/1512 + 1080/1512 = 392 + 1080/1512 = 1472/1512
  5. 1472/1512 simplified gives 184/189
  6. So, 7/27 + 40/56 = 184/189

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