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Add 40/81 and 21/49

40/81 + 21/49 is 523/567.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 3969
  2. For the 1st fraction, since 81 × 49 = 3969,
    40/81 = 40 × 49/81 × 49 = 1960/3969
  3. Likewise, for the 2nd fraction, since 49 × 81 = 3969,
    21/49 = 21 × 81/49 × 81 = 1701/3969
  4. Add the two like fractions:
    1960/3969 + 1701/3969 = 1960 + 1701/3969 = 3661/3969
  5. 3661/3969 simplified gives 523/567
  6. So, 40/81 + 21/49 = 523/567

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