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Add 30/81 and 5/40

30/81 + 5/40 is 107/216.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 3240
  2. For the 1st fraction, since 81 × 40 = 3240,
    30/81 = 30 × 40/81 × 40 = 1200/3240
  3. Likewise, for the 2nd fraction, since 40 × 81 = 3240,
    5/40 = 5 × 81/40 × 81 = 405/3240
  4. Add the two like fractions:
    1200/3240 + 405/3240 = 1200 + 405/3240 = 1605/3240
  5. 1605/3240 simplified gives 107/216
  6. So, 30/81 + 5/40 = 107/216

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