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Add 4/49 and 6/64

4/49 + 6/64 is 275/1568.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 64 is 3136

    Next, find the equivalent fraction of both fractional numbers with denominator 3136
  2. For the 1st fraction, since 49 × 64 = 3136,
    4/49 = 4 × 64/49 × 64 = 256/3136
  3. Likewise, for the 2nd fraction, since 64 × 49 = 3136,
    6/64 = 6 × 49/64 × 49 = 294/3136
  4. Add the two like fractions:
    256/3136 + 294/3136 = 256 + 294/3136 = 550/3136
  5. 550/3136 simplified gives 275/1568
  6. So, 4/49 + 6/64 = 275/1568

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