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Add 75/64 and 30/90

1st number: 1 11/64, 2nd number: 30/90

75/64 + 30/90 is 289/192.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 90 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 64 × 45 = 2880,
    75/64 = 75 × 45/64 × 45 = 3375/2880
  3. Likewise, for the 2nd fraction, since 90 × 32 = 2880,
    30/90 = 30 × 32/90 × 32 = 960/2880
  4. Add the two like fractions:
    3375/2880 + 960/2880 = 3375 + 960/2880 = 4335/2880
  5. 4335/2880 simplified gives 289/192
  6. So, 75/64 + 30/90 = 289/192
    In mixed form: 197/192

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