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Add 16/49 and 28/36

16/49 + 28/36 is 487/441.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 49 × 36 = 1764,
    16/49 = 16 × 36/49 × 36 = 576/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    28/36 = 28 × 49/36 × 49 = 1372/1764
  4. Add the two like fractions:
    576/1764 + 1372/1764 = 576 + 1372/1764 = 1948/1764
  5. 1948/1764 simplified gives 487/441
  6. So, 16/49 + 28/36 = 487/441
    In mixed form: 146/441

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