Answers

Add 30/63 and 35/42

30/63 + 35/42 is 55/42.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 63 and 42 is 126
   
   Next, find the equivalent fraction of both fractional numbers with denominator 126
2. For the 1st fraction, since 63 × 2 = 126,
   30/63 = 30 × 2/63 × 2 = 60/126
3. Likewise, for the 2nd fraction, since 42 × 3 = 126,
   35/42 = 35 × 3/42 × 3 = 105/126
4. Add the two like fractions:
   60/126 + 105/126 = 60 + 105/126 = 165/126
5. 165/126 simplified gives 55/42
6. So, 30/63 + 35/42 = 55/42
   In mixed form: 113/42

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