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Add 45/64 and 21/63

45/64 + 21/63 is 199/192.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 63 is 4032

    Next, find the equivalent fraction of both fractional numbers with denominator 4032
  2. For the 1st fraction, since 64 × 63 = 4032,
    45/64 = 45 × 63/64 × 63 = 2835/4032
  3. Likewise, for the 2nd fraction, since 63 × 64 = 4032,
    21/63 = 21 × 64/63 × 64 = 1344/4032
  4. Add the two like fractions:
    2835/4032 + 1344/4032 = 2835 + 1344/4032 = 4179/4032
  5. 4179/4032 simplified gives 199/192
  6. So, 45/64 + 21/63 = 199/192
    In mixed form: 17/192

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