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Add 40/64 and 6/9

40/64 + 6/9 is 31/24.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 9 is 576

    Next, find the equivalent fraction of both fractional numbers with denominator 576
  2. For the 1st fraction, since 64 × 9 = 576,
    40/64 = 40 × 9/64 × 9 = 360/576
  3. Likewise, for the 2nd fraction, since 9 × 64 = 576,
    6/9 = 6 × 64/9 × 64 = 384/576
  4. Add the two like fractions:
    360/576 + 384/576 = 360 + 384/576 = 744/576
  5. 744/576 simplified gives 31/24
  6. So, 40/64 + 6/9 = 31/24
    In mixed form: 17/24

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