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Add 30/42 and 45/64

30/42 + 45/64 is 635/448.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 64 is 1344

    Next, find the equivalent fraction of both fractional numbers with denominator 1344
  2. For the 1st fraction, since 42 × 32 = 1344,
    30/42 = 30 × 32/42 × 32 = 960/1344
  3. Likewise, for the 2nd fraction, since 64 × 21 = 1344,
    45/64 = 45 × 21/64 × 21 = 945/1344
  4. Add the two like fractions:
    960/1344 + 945/1344 = 960 + 945/1344 = 1905/1344
  5. 1905/1344 simplified gives 635/448
  6. So, 30/42 + 45/64 = 635/448
    In mixed form: 1187/448

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