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Add 3/27 and 42/56

3/27 + 42/56 is 31/36.

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,
    3/27 = 3 × 56/27 × 56 = 168/1512
  3. Likewise, for the 2nd fraction, since 56 × 27 = 1512,
    42/56 = 42 × 27/56 × 27 = 1134/1512
  4. Add the two like fractions:
    168/1512 + 1134/1512 = 168 + 1134/1512 = 1302/1512
  5. 1302/1512 simplified gives 31/36
  6. So, 3/27 + 42/56 = 31/36

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