Answers

Add 2/81 and 40/84

2/81 + 40/84 is 284/567.

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,
   2/81 = 2 × 28/81 × 28 = 56/2268
3. Likewise, for the 2nd fraction, since 84 × 27 = 2268,
   40/84 = 40 × 27/84 × 27 = 1080/2268
4. Add the two like fractions:
   56/2268 + 1080/2268 = 56 + 1080/2268 = 1136/2268
5. 1136/2268 simplified gives 284/567
6. So, 2/81 + 40/84 = 284/567

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