Answers

Add 70/30 and 40/49

1^st number: 2 10/30, 2^nd number: 40/49

70/30 + 40/49 is 463/147.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 49 is 1470
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1470
2. For the 1st fraction, since 30 × 49 = 1470,
   70/30 = 70 × 49/30 × 49 = 3430/1470
3. Likewise, for the 2nd fraction, since 49 × 30 = 1470,
   40/49 = 40 × 30/49 × 30 = 1200/1470
4. Add the two like fractions:
   3430/1470 + 1200/1470 = 3430 + 1200/1470 = 4630/1470
5. 4630/1470 simplified gives 463/147
6. So, 70/30 + 40/49 = 463/147
   In mixed form: 322/147

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