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Add 10/81 and 40/45

10/81 + 40/45 is 82/81.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 81 and 45 is 405

    Next, find the equivalent fraction of both fractional numbers with denominator 405
  2. For the 1st fraction, since 81 × 5 = 405,
    10/81 = 10 × 5/81 × 5 = 50/405
  3. Likewise, for the 2nd fraction, since 45 × 9 = 405,
    40/45 = 40 × 9/45 × 9 = 360/405
  4. Add the two like fractions:
    50/405 + 360/405 = 50 + 360/405 = 410/405
  5. 410/405 simplified gives 82/81
  6. So, 10/81 + 40/45 = 82/81
    In mixed form: 11/81

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