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Add 30/64 and 5/9

30/64 + 5/9 is 295/288.

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,
    30/64 = 30 × 9/64 × 9 = 270/576
  3. Likewise, for the 2nd fraction, since 9 × 64 = 576,
    5/9 = 5 × 64/9 × 64 = 320/576
  4. Add the two like fractions:
    270/576 + 320/576 = 270 + 320/576 = 590/576
  5. 590/576 simplified gives 295/288
  6. So, 30/64 + 5/9 = 295/288
    In mixed form: 17/288

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