Answers

Add 30/84 and 6/35

30/84 + 6/35 is 37/70.

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,
   30/84 = 30 × 5/84 × 5 = 150/420
3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
   6/35 = 6 × 12/35 × 12 = 72/420
4. Add the two like fractions:
   150/420 + 72/420 = 150 + 72/420 = 222/420
5. 222/420 simplified gives 37/70
6. So, 30/84 + 6/35 = 37/70

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