Answers

Add 30/84 and 15/81

30/84 + 15/81 is 205/378.

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,
   30/84 = 30 × 27/84 × 27 = 810/2268
3. Likewise, for the 2nd fraction, since 81 × 28 = 2268,
   15/81 = 15 × 28/81 × 28 = 420/2268
4. Add the two like fractions:
   810/2268 + 420/2268 = 810 + 420/2268 = 1230/2268
5. 1230/2268 simplified gives 205/378
6. So, 30/84 + 15/81 = 205/378

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