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Add 45/84 and 45/81

45/84 + 45/81 is 275/252.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 81 is 2268

    Next, find the equivalent fraction of both fractional numbers with denominator 2268
  2. For the 1st fraction, since 84 × 27 = 2268,
    45/84 = 45 × 27/84 × 27 = 1215/2268
  3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
    45/81 = 45 × 28/81 × 28 = 1260/2268
  4. Add the two like fractions:
    1215/2268 + 1260/2268 = 1215 + 1260/2268 = 2475/2268
  5. 2475/2268 simplified gives 275/252
  6. So, 45/84 + 45/81 = 275/252
    In mixed form: 123/252

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