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Add 35/16 and 49/63

1st number: 2 3/16, 2nd number: 49/63

35/16 + 49/63 is 427/144.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1008
  2. For the 1st fraction, since 16 × 63 = 1008,
    35/16 = 35 × 63/16 × 63 = 2205/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    49/63 = 49 × 16/63 × 16 = 784/1008
  4. Add the two like fractions:
    2205/1008 + 784/1008 = 2205 + 784/1008 = 2989/1008
  5. 2989/1008 simplified gives 427/144
  6. So, 35/16 + 49/63 = 427/144
    In mixed form: 2139/144

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