Answers

Add 35/75 and 7/30

35/75 + 7/30 is 7/10.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 30 is 150
   
   Next, find the equivalent fraction of both fractional numbers with denominator 150
2. For the 1st fraction, since 75 × 2 = 150,
   35/75 = 35 × 2/75 × 2 = 70/150
3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
   7/30 = 7 × 5/30 × 5 = 35/150
4. Add the two like fractions:
   70/150 + 35/150 = 70 + 35/150 = 105/150
5. 105/150 simplified gives 7/10
6. So, 35/75 + 7/30 = 7/10

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