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Add 10/63 and 40/64

10/63 + 40/64 is 395/504.

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,
    10/63 = 10 × 64/63 × 64 = 640/4032
  3. Likewise, for the 2nd fraction, since 64 × 63 = 4032,
    40/64 = 40 × 63/64 × 63 = 2520/4032
  4. Add the two like fractions:
    640/4032 + 2520/4032 = 640 + 2520/4032 = 3160/4032
  5. 3160/4032 simplified gives 395/504
  6. So, 10/63 + 40/64 = 395/504

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