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Add 12/40 and 75/81

12/40 + 75/81 is 331/270.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 81 is 3240

    Next, find the equivalent fraction of both fractional numbers with denominator 3240
  2. For the 1st fraction, since 40 × 81 = 3240,
    12/40 = 12 × 81/40 × 81 = 972/3240
  3. Likewise, for the 2nd fraction, since 81 × 40 = 3240,
    75/81 = 75 × 40/81 × 40 = 3000/3240
  4. Add the two like fractions:
    972/3240 + 3000/3240 = 972 + 3000/3240 = 3972/3240
  5. 3972/3240 simplified gives 331/270
  6. So, 12/40 + 75/81 = 331/270
    In mixed form: 161/270

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