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Add 75/64 and 30/42

1st number: 1 11/64, 2nd number: 30/42

75/64 + 30/42 is 845/448.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1344
  2. For the 1st fraction, since 64 × 21 = 1344,
    75/64 = 75 × 21/64 × 21 = 1575/1344
  3. Likewise, for the 2nd fraction, since 42 × 32 = 1344,
    30/42 = 30 × 32/42 × 32 = 960/1344
  4. Add the two like fractions:
    1575/1344 + 960/1344 = 1575 + 960/1344 = 2535/1344
  5. 2535/1344 simplified gives 845/448
  6. So, 75/64 + 30/42 = 845/448
    In mixed form: 1397/448

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