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Add 9/36 and 16/49

9/36 + 16/49 is 113/196.

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,
    9/36 = 9 × 49/36 × 49 = 441/1764
  3. Likewise, for the 2nd fraction, since 49 × 36 = 1764,
    16/49 = 16 × 36/49 × 36 = 576/1764
  4. Add the two like fractions:
    441/1764 + 576/1764 = 441 + 576/1764 = 1017/1764
  5. 1017/1764 simplified gives 113/196
  6. So, 9/36 + 16/49 = 113/196

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