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Add 10/75 and 27/64

10/75 + 27/64 is 533/960.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 64 is 4800

    Next, find the equivalent fraction of both fractional numbers with denominator 4800
  2. For the 1st fraction, since 75 × 64 = 4800,
    10/75 = 10 × 64/75 × 64 = 640/4800
  3. Likewise, for the 2nd fraction, since 64 × 75 = 4800,
    27/64 = 27 × 75/64 × 75 = 2025/4800
  4. Add the two like fractions:
    640/4800 + 2025/4800 = 640 + 2025/4800 = 2665/4800
  5. 2665/4800 simplified gives 533/960
  6. So, 10/75 + 27/64 = 533/960

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