Answers

Add 35/84 and 21/90

35/84 + 21/90 is 13/20.

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,
   35/84 = 35 × 15/84 × 15 = 525/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   21/90 = 21 × 14/90 × 14 = 294/1260
4. Add the two like fractions:
   525/1260 + 294/1260 = 525 + 294/1260 = 819/1260
5. 819/1260 simplified gives 13/20
6. So, 35/84 + 21/90 = 13/20

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