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Add 27/36 and 14/49

27/36 + 14/49 is 29/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 36 and 49 is 1764

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 36 × 49 = 1764,
    27/36 = 27 × 49/36 × 49 = 1323/1764
  3. Likewise, for the 2nd fraction, since 49 × 36 = 1764,
    14/49 = 14 × 36/49 × 36 = 504/1764
  4. Add the two like fractions:
    1323/1764 + 504/1764 = 1323 + 504/1764 = 1827/1764
  5. 1827/1764 simplified gives 29/28
  6. So, 27/36 + 14/49 = 29/28
    In mixed form: 11/28

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