Answers

Add 27/84 and 21/54

27/84 + 21/54 is 179/252.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 54 is 756
   
   Next, find the equivalent fraction of both fractional numbers with denominator 756
2. For the 1st fraction, since 84 × 9 = 756,
   27/84 = 27 × 9/84 × 9 = 243/756
3. Likewise, for the 2nd fraction, since 54 × 14 = 756,
   21/54 = 21 × 14/54 × 14 = 294/756
4. Add the two like fractions:
   243/756 + 294/756 = 243 + 294/756 = 537/756
5. 537/756 simplified gives 179/252
6. So, 27/84 + 21/54 = 179/252

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