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Add 21/42 and 75/81

21/42 + 75/81 is 77/54.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 81 is 1134

    Next, find the equivalent fraction of both fractional numbers with denominator 1134
  2. For the 1st fraction, since 42 × 27 = 1134,
    21/42 = 21 × 27/42 × 27 = 567/1134
  3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
    75/81 = 75 × 14/81 × 14 = 1050/1134
  4. Add the two like fractions:
    567/1134 + 1050/1134 = 567 + 1050/1134 = 1617/1134
  5. 1617/1134 simplified gives 77/54
  6. So, 21/42 + 75/81 = 77/54
    In mixed form: 123/54

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