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Add 21/45 and 30/81

21/45 + 30/81 is 113/135.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 405
  2. For the 1st fraction, since 45 × 9 = 405,
    21/45 = 21 × 9/45 × 9 = 189/405
  3. Likewise, for the 2nd fraction, since 81 × 5 = 405,
    30/81 = 30 × 5/81 × 5 = 150/405
  4. Add the two like fractions:
    189/405 + 150/405 = 189 + 150/405 = 339/405
  5. 339/405 simplified gives 113/135
  6. So, 21/45 + 30/81 = 113/135

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