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Add 75/90 and 9/64

75/90 + 9/64 is 187/192.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 90 × 32 = 2880,
    75/90 = 75 × 32/90 × 32 = 2400/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    9/64 = 9 × 45/64 × 45 = 405/2880
  4. Add the two like fractions:
    2400/2880 + 405/2880 = 2400 + 405/2880 = 2805/2880
  5. 2805/2880 simplified gives 187/192
  6. So, 75/90 + 9/64 = 187/192

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