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Add 35/90 and 27/32

35/90 + 27/32 is 355/288.

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,
    35/90 = 35 × 16/90 × 16 = 560/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    27/32 = 27 × 45/32 × 45 = 1215/1440
  4. Add the two like fractions:
    560/1440 + 1215/1440 = 560 + 1215/1440 = 1775/1440
  5. 1775/1440 simplified gives 355/288
  6. So, 35/90 + 27/32 = 355/288
    In mixed form: 167/288

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