Answers

Add 35/84 and 42/80

35/84 + 42/80 is 113/120.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 80 is 1680
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1680
2. For the 1st fraction, since 84 × 20 = 1680,
   35/84 = 35 × 20/84 × 20 = 700/1680
3. Likewise, for the 2nd fraction, since 80 × 21 = 1680,
   42/80 = 42 × 21/80 × 21 = 882/1680
4. Add the two like fractions:
   700/1680 + 882/1680 = 700 + 882/1680 = 1582/1680
5. 1582/1680 simplified gives 113/120
6. So, 35/84 + 42/80 = 113/120

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