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Add 72/81 and 42/84

72/81 + 42/84 is 25/18.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 81 and 84 is 2268

    Next, find the equivalent fraction of both fractional numbers with denominator 2268
  2. For the 1st fraction, since 81 × 28 = 2268,
    72/81 = 72 × 28/81 × 28 = 2016/2268
  3. Likewise, for the 2nd fraction, since 84 × 27 = 2268,
    42/84 = 42 × 27/84 × 27 = 1134/2268
  4. Add the two like fractions:
    2016/2268 + 1134/2268 = 2016 + 1134/2268 = 3150/2268
  5. 3150/2268 simplified gives 25/18
  6. So, 72/81 + 42/84 = 25/18
    In mixed form: 17/18

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