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Add 10/16 and 14/49

10/16 + 14/49 is 51/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 49 is 784

    Next, find the equivalent fraction of both fractional numbers with denominator 784
  2. For the 1st fraction, since 16 × 49 = 784,
    10/16 = 10 × 49/16 × 49 = 490/784
  3. Likewise, for the 2nd fraction, since 49 × 16 = 784,
    14/49 = 14 × 16/49 × 16 = 224/784
  4. Add the two like fractions:
    490/784 + 224/784 = 490 + 224/784 = 714/784
  5. 714/784 simplified gives 51/56
  6. So, 10/16 + 14/49 = 51/56

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