Answers

Add 27/84 and 30/81

27/84 + 30/81 is 523/756.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 81 is 2268
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2268
2. For the 1st fraction, since 84 × 27 = 2268,
   27/84 = 27 × 27/84 × 27 = 729/2268
3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
   30/81 = 30 × 28/81 × 28 = 840/2268
4. Add the two like fractions:
   729/2268 + 840/2268 = 729 + 840/2268 = 1569/2268
5. 1569/2268 simplified gives 523/756
6. So, 27/84 + 30/81 = 523/756

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