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Add 36/64 and 16/63

36/64 + 16/63 is 823/1008.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 63 is 4032

    Next, find the equivalent fraction of both fractional numbers with denominator 4032
  2. For the 1st fraction, since 64 × 63 = 4032,
    36/64 = 36 × 63/64 × 63 = 2268/4032
  3. Likewise, for the 2nd fraction, since 63 × 64 = 4032,
    16/63 = 16 × 64/63 × 64 = 1024/4032
  4. Add the two like fractions:
    2268/4032 + 1024/4032 = 2268 + 1024/4032 = 3292/4032
  5. 3292/4032 simplified gives 823/1008
  6. So, 36/64 + 16/63 = 823/1008

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