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Add 12/30 and 45/64

12/30 + 45/64 is 353/320.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 64 is 960

    Next, find the equivalent fraction of both fractional numbers with denominator 960
  2. For the 1st fraction, since 30 × 32 = 960,
    12/30 = 12 × 32/30 × 32 = 384/960
  3. Likewise, for the 2nd fraction, since 64 × 15 = 960,
    45/64 = 45 × 15/64 × 15 = 675/960
  4. Add the two like fractions:
    384/960 + 675/960 = 384 + 675/960 = 1059/960
  5. 1059/960 simplified gives 353/320
  6. So, 12/30 + 45/64 = 353/320
    In mixed form: 133/320

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