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Add 35/75 and 54/64

35/75 + 54/64 is 629/480.

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,
    35/75 = 35 × 64/75 × 64 = 2240/4800
  3. Likewise, for the 2nd fraction, since 64 × 75 = 4800,
    54/64 = 54 × 75/64 × 75 = 4050/4800
  4. Add the two like fractions:
    2240/4800 + 4050/4800 = 2240 + 4050/4800 = 6290/4800
  5. 6290/4800 simplified gives 629/480
  6. So, 35/75 + 54/64 = 629/480
    In mixed form: 1149/480

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