Answers

Add 27/84 and 32/49

27/84 + 32/49 is 191/196.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 49 is 588
   
   Next, find the equivalent fraction of both fractional numbers with denominator 588
2. For the 1st fraction, since 84 × 7 = 588,
   27/84 = 27 × 7/84 × 7 = 189/588
3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
   32/49 = 32 × 12/49 × 12 = 384/588
4. Add the two like fractions:
   189/588 + 384/588 = 189 + 384/588 = 573/588
5. 573/588 simplified gives 191/196
6. So, 27/84 + 32/49 = 191/196

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