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Add 10/27 and 42/64

10/27 + 42/64 is 887/864.

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,
    10/27 = 10 × 64/27 × 64 = 640/1728
  3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
    42/64 = 42 × 27/64 × 27 = 1134/1728
  4. Add the two like fractions:
    640/1728 + 1134/1728 = 640 + 1134/1728 = 1774/1728
  5. 1774/1728 simplified gives 887/864
  6. So, 10/27 + 42/64 = 887/864
    In mixed form: 123/864

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