Answers

Add 12/84 and 30/42

12/84 + 30/42 is 6/7.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 42 is 84
   
   Next, find the equivalent fraction of both fractional numbers with denominator 84
2. For the 1st fraction, since 84 × 1 = 84,
   12/84 = 12 × 1/84 × 1 = 12/84
3. Likewise, for the 2nd fraction, since 42 × 2 = 84,
   30/42 = 30 × 2/42 × 2 = 60/84
4. Add the two like fractions:
   12/84 + 60/84 = 12 + 60/84 = 72/84
5. 72/84 simplified gives 6/7
6. So, 12/84 + 30/42 = 6/7

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