Answers

Add 30/84 and 3/70

30/84 + 3/70 is 2/5.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 70 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   30/84 = 30 × 5/84 × 5 = 150/420
3. Likewise, for the 2nd fraction, since 70 × 6 = 420,
   3/70 = 3 × 6/70 × 6 = 18/420
4. Add the two like fractions:
   150/420 + 18/420 = 150 + 18/420 = 168/420
5. 168/420 simplified gives 2/5
6. So, 30/84 + 3/70 = 2/5

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