Answers

Add 30/42 and 2/63

30/42 + 2/63 is 47/63.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 63 is 126
   
   Next, find the equivalent fraction of both fractional numbers with denominator 126
2. For the 1st fraction, since 42 × 3 = 126,
   30/42 = 30 × 3/42 × 3 = 90/126
3. Likewise, for the 2nd fraction, since 63 × 2 = 126,
   2/63 = 2 × 2/63 × 2 = 4/126
4. Add the two like fractions:
   90/126 + 4/126 = 90 + 4/126 = 94/126
5. 94/126 simplified gives 47/63
6. So, 30/42 + 2/63 = 47/63

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