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Add 35/45 and 27/32

35/45 + 27/32 is 467/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 32 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 45 × 32 = 1440,
    35/45 = 35 × 32/45 × 32 = 1120/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    27/32 = 27 × 45/32 × 45 = 1215/1440
  4. Add the two like fractions:
    1120/1440 + 1215/1440 = 1120 + 1215/1440 = 2335/1440
  5. 2335/1440 simplified gives 467/288
  6. So, 35/45 + 27/32 = 467/288
    In mixed form: 1179/288

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