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Add 4/27 and 30/64

4/27 + 30/64 is 533/864.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 64 is 1728

    Next, find the equivalent fraction of both fractional numbers with denominator 1728
  2. For the 1st fraction, since 27 × 64 = 1728,
    4/27 = 4 × 64/27 × 64 = 256/1728
  3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
    30/64 = 30 × 27/64 × 27 = 810/1728
  4. Add the two like fractions:
    256/1728 + 810/1728 = 256 + 810/1728 = 1066/1728
  5. 1066/1728 simplified gives 533/864
  6. So, 4/27 + 30/64 = 533/864

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