Answers

Add 35/84 and 98/45

1^st number: 35/84, 2^nd number: 2 8/45

35/84 + 98/45 is 467/180.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 45 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 45 × 28 = 1260,
   98/45 = 98 × 28/45 × 28 = 2744/1260
4. Add the two like fractions:
   525/1260 + 2744/1260 = 525 + 2744/1260 = 3269/1260
5. 3269/1260 simplified gives 467/180
6. So, 35/84 + 98/45 = 467/180
   In mixed form: 2107/180

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