Answers

Add 84/35 and 70/9

1^st number: 2 14/35, 2^nd number: 7 7/9

84/35 + 70/9 is 458/45.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 35 and 9 is 315
   
   Next, find the equivalent fraction of both fractional numbers with denominator 315
2. For the 1st fraction, since 35 × 9 = 315,
   84/35 = 84 × 9/35 × 9 = 756/315
3. Likewise, for the 2nd fraction, since 9 × 35 = 315,
   70/9 = 70 × 35/9 × 35 = 2450/315
4. Add the two like fractions:
   756/315 + 2450/315 = 756 + 2450/315 = 3206/315
5. 3206/315 simplified gives 458/45
6. So, 84/35 + 70/9 = 458/45
   In mixed form: 108/45

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