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Add 12/16 and 42/63

12/16 + 42/63 is 17/12.

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,
    12/16 = 12 × 63/16 × 63 = 756/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    42/63 = 42 × 16/63 × 16 = 672/1008
  4. Add the two like fractions:
    756/1008 + 672/1008 = 756 + 672/1008 = 1428/1008
  5. 1428/1008 simplified gives 17/12
  6. So, 12/16 + 42/63 = 17/12
    In mixed form: 15/12

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