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Add 49/63 and 9/16

49/63 + 9/16 is 193/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 63 and 16 is 1008

    Next, find the equivalent fraction of both fractional numbers with denominator 1008
  2. For the 1st fraction, since 63 × 16 = 1008,
    49/63 = 49 × 16/63 × 16 = 784/1008
  3. Likewise, for the 2nd fraction, since 16 × 63 = 1008,
    9/16 = 9 × 63/16 × 63 = 567/1008
  4. Add the two like fractions:
    784/1008 + 567/1008 = 784 + 567/1008 = 1351/1008
  5. 1351/1008 simplified gives 193/144
  6. So, 49/63 + 9/16 = 193/144
    In mixed form: 149/144

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