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Add 30/90 and 45/64

30/90 + 45/64 is 199/192.

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,
    30/90 = 30 × 32/90 × 32 = 960/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    45/64 = 45 × 45/64 × 45 = 2025/2880
  4. Add the two like fractions:
    960/2880 + 2025/2880 = 960 + 2025/2880 = 2985/2880
  5. 2985/2880 simplified gives 199/192
  6. So, 30/90 + 45/64 = 199/192
    In mixed form: 17/192

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