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Add 30/27 and 30/64

1st number: 1 3/27, 2nd number: 30/64

30/27 + 30/64 is 455/288.

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,
    30/27 = 30 × 64/27 × 64 = 1920/1728
  3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
    30/64 = 30 × 27/64 × 27 = 810/1728
  4. Add the two like fractions:
    1920/1728 + 810/1728 = 1920 + 810/1728 = 2730/1728
  5. 2730/1728 simplified gives 455/288
  6. So, 30/27 + 30/64 = 455/288
    In mixed form: 1167/288

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