Answers

Add 35/84 and 35/40

35/84 + 35/40 is 31/24.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 40 is 840
   
   Next, find the equivalent fraction of both fractional numbers with denominator 840
2. For the 1st fraction, since 84 × 10 = 840,
   35/84 = 35 × 10/84 × 10 = 350/840
3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
   35/40 = 35 × 21/40 × 21 = 735/840
4. Add the two like fractions:
   350/840 + 735/840 = 350 + 735/840 = 1085/840
5. 1085/840 simplified gives 31/24
6. So, 35/84 + 35/40 = 31/24
   In mixed form: 17/24

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