Answers

Add 35/30 and 40/84

1^st number: 1 5/30, 2^nd number: 40/84

35/30 + 40/84 is 23/14.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 84 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 30 × 14 = 420,
   35/30 = 35 × 14/30 × 14 = 490/420
3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
   40/84 = 40 × 5/84 × 5 = 200/420
4. Add the two like fractions:
   490/420 + 200/420 = 490 + 200/420 = 690/420
5. 690/420 simplified gives 23/14
6. So, 35/30 + 40/84 = 23/14
   In mixed form: 19/14

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