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Add 1/63 and 28/64

1/63 + 28/64 is 457/1008.

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,
    1/63 = 1 × 64/63 × 64 = 64/4032
  3. Likewise, for the 2nd fraction, since 64 × 63 = 4032,
    28/64 = 28 × 63/64 × 63 = 1764/4032
  4. Add the two like fractions:
    64/4032 + 1764/4032 = 64 + 1764/4032 = 1828/4032
  5. 1828/4032 simplified gives 457/1008
  6. So, 1/63 + 28/64 = 457/1008

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