Answers

Add 27/84 and 54/90

27/84 + 54/90 is 129/140.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 90 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 84 × 15 = 1260,
   27/84 = 27 × 15/84 × 15 = 405/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   54/90 = 54 × 14/90 × 14 = 756/1260
4. Add the two like fractions:
   405/1260 + 756/1260 = 405 + 756/1260 = 1161/1260
5. 1161/1260 simplified gives 129/140
6. So, 27/84 + 54/90 = 129/140

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