Answers

Add 30/81 and 42/80

30/81 + 42/80 is 967/1080.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 81 and 80 is 6480
   
   Next, find the equivalent fraction of both fractional numbers with denominator 6480
2. For the 1st fraction, since 81 × 80 = 6480,
   30/81 = 30 × 80/81 × 80 = 2400/6480
3. Likewise, for the 2nd fraction, since 80 × 81 = 6480,
   42/80 = 42 × 81/80 × 81 = 3402/6480
4. Add the two like fractions:
   2400/6480 + 3402/6480 = 2400 + 3402/6480 = 5802/6480
5. 5802/6480 simplified gives 967/1080
6. So, 30/81 + 42/80 = 967/1080

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