Answers

Add 35/84 and 9/20

35/84 + 9/20 is 13/15.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 20 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   35/84 = 35 × 5/84 × 5 = 175/420
3. Likewise, for the 2nd fraction, since 20 × 21 = 420,
   9/20 = 9 × 21/20 × 21 = 189/420
4. Add the two like fractions:
   175/420 + 189/420 = 175 + 189/420 = 364/420
5. 364/420 simplified gives 13/15
6. So, 35/84 + 9/20 = 13/15

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