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Add 45/90 and 27/32

45/90 + 27/32 is 43/32.

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,
    45/90 = 45 × 16/90 × 16 = 720/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    27/32 = 27 × 45/32 × 45 = 1215/1440
  4. Add the two like fractions:
    720/1440 + 1215/1440 = 720 + 1215/1440 = 1935/1440
  5. 1935/1440 simplified gives 43/32
  6. So, 45/90 + 27/32 = 43/32
    In mixed form: 111/32

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