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Add 36/90 and 75/96

36/90 + 75/96 is 189/160.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 96 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 90 × 16 = 1440,
    36/90 = 36 × 16/90 × 16 = 576/1440
  3. Likewise, for the 2nd fraction, since 96 × 15 = 1440,
    75/96 = 75 × 15/96 × 15 = 1125/1440
  4. Add the two like fractions:
    576/1440 + 1125/1440 = 576 + 1125/1440 = 1701/1440
  5. 1701/1440 simplified gives 189/160
  6. So, 36/90 + 75/96 = 189/160
    In mixed form: 129/160

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