Answers

Add 42/84 and 30/35

42/84 + 30/35 is 19/14.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 35 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   42/84 = 42 × 5/84 × 5 = 210/420
3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
   30/35 = 30 × 12/35 × 12 = 360/420
4. Add the two like fractions:
   210/420 + 360/420 = 210 + 360/420 = 570/420
5. 570/420 simplified gives 19/14
6. So, 42/84 + 30/35 = 19/14
   In mixed form: 15/14

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