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Add 40/49 and 42/81

40/49 + 42/81 is 1766/1323.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 81 is 3969

    Next, find the equivalent fraction of both fractional numbers with denominator 3969
  2. For the 1st fraction, since 49 × 81 = 3969,
    40/49 = 40 × 81/49 × 81 = 3240/3969
  3. Likewise, for the 2nd fraction, since 81 × 49 = 3969,
    42/81 = 42 × 49/81 × 49 = 2058/3969
  4. Add the two like fractions:
    3240/3969 + 2058/3969 = 3240 + 2058/3969 = 5298/3969
  5. 5298/3969 simplified gives 1766/1323
  6. So, 40/49 + 42/81 = 1766/1323
    In mixed form: 1443/1323

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