Answers

Add 35/90 and 40/84

35/90 + 40/84 is 109/126.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 90 and 84 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 90 × 14 = 1260,
   35/90 = 35 × 14/90 × 14 = 490/1260
3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
   40/84 = 40 × 15/84 × 15 = 600/1260
4. Add the two like fractions:
   490/1260 + 600/1260 = 490 + 600/1260 = 1090/1260
5. 1090/1260 simplified gives 109/126
6. So, 35/90 + 40/84 = 109/126

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