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Add 16/36 and 9/14

16/36 + 9/14 is 137/126.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 36 and 14 is 252

    Next, find the equivalent fraction of both fractional numbers with denominator 252
  2. For the 1st fraction, since 36 × 7 = 252,
    16/36 = 16 × 7/36 × 7 = 112/252
  3. Likewise, for the 2nd fraction, since 14 × 18 = 252,
    9/14 = 9 × 18/14 × 18 = 162/252
  4. Add the two like fractions:
    112/252 + 162/252 = 112 + 162/252 = 274/252
  5. 274/252 simplified gives 137/126
  6. So, 16/36 + 9/14 = 137/126
    In mixed form: 111/126

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