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Add 12/21 and 45/64

12/21 + 45/64 is 571/448.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 64 is 1344

    Next, find the equivalent fraction of both fractional numbers with denominator 1344
  2. For the 1st fraction, since 21 × 64 = 1344,
    12/21 = 12 × 64/21 × 64 = 768/1344
  3. Likewise, for the 2nd fraction, since 64 × 21 = 1344,
    45/64 = 45 × 21/64 × 21 = 945/1344
  4. Add the two like fractions:
    768/1344 + 945/1344 = 768 + 945/1344 = 1713/1344
  5. 1713/1344 simplified gives 571/448
  6. So, 12/21 + 45/64 = 571/448
    In mixed form: 1123/448

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