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Add 75/90 and 27/32

75/90 + 27/32 is 161/96.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 32 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 90 × 16 = 1440,
    75/90 = 75 × 16/90 × 16 = 1200/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    27/32 = 27 × 45/32 × 45 = 1215/1440
  4. Add the two like fractions:
    1200/1440 + 1215/1440 = 1200 + 1215/1440 = 2415/1440
  5. 2415/1440 simplified gives 161/96
  6. So, 75/90 + 27/32 = 161/96
    In mixed form: 165/96

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