Answers

Add 42/84 and 30/49

42/84 + 30/49 is 109/98.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 49 is 588
   
   Next, find the equivalent fraction of both fractional numbers with denominator 588
2. For the 1st fraction, since 84 × 7 = 588,
   42/84 = 42 × 7/84 × 7 = 294/588
3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
   30/49 = 30 × 12/49 × 12 = 360/588
4. Add the two like fractions:
   294/588 + 360/588 = 294 + 360/588 = 654/588
5. 654/588 simplified gives 109/98
6. So, 42/84 + 30/49 = 109/98
   In mixed form: 111/98

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