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Add 10/64 and 49/63

10/64 + 49/63 is 269/288.

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,
    10/64 = 10 × 63/64 × 63 = 630/4032
  3. Likewise, for the 2nd fraction, since 63 × 64 = 4032,
    49/63 = 49 × 64/63 × 64 = 3136/4032
  4. Add the two like fractions:
    630/4032 + 3136/4032 = 630 + 3136/4032 = 3766/4032
  5. 3766/4032 simplified gives 269/288
  6. So, 10/64 + 49/63 = 269/288

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