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Add 14/36 and 42/49

14/36 + 42/49 is 157/126.

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,
    14/36 = 14 × 49/36 × 49 = 686/1764
  3. Likewise, for the 2nd fraction, since 49 × 36 = 1764,
    42/49 = 42 × 36/49 × 36 = 1512/1764
  4. Add the two like fractions:
    686/1764 + 1512/1764 = 686 + 1512/1764 = 2198/1764
  5. 2198/1764 simplified gives 157/126
  6. So, 14/36 + 42/49 = 157/126
    In mixed form: 131/126

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