Answers

Add 40/84 and 14/30

40/84 + 14/30 is 33/35.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 30 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   40/84 = 40 × 5/84 × 5 = 200/420
3. Likewise, for the 2nd fraction, since 30 × 14 = 420,
   14/30 = 14 × 14/30 × 14 = 196/420
4. Add the two like fractions:
   200/420 + 196/420 = 200 + 196/420 = 396/420
5. 396/420 simplified gives 33/35
6. So, 40/84 + 14/30 = 33/35

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