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Add 4/63 and 36/64

4/63 + 36/64 is 631/1008.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 4032
  2. For the 1st fraction, since 63 × 64 = 4032,
    4/63 = 4 × 64/63 × 64 = 256/4032
  3. Likewise, for the 2nd fraction, since 64 × 63 = 4032,
    36/64 = 36 × 63/64 × 63 = 2268/4032
  4. Add the two like fractions:
    256/4032 + 2268/4032 = 256 + 2268/4032 = 2524/4032
  5. 2524/4032 simplified gives 631/1008
  6. So, 4/63 + 36/64 = 631/1008

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