To solve this problem, you need to add the two mixed numbers. Since 3/4 and 1/2 are not like terms, convert 1/2 into a fraction out of 4 by multiplying the numerator and the denominator by 2. This gives you the traction 2/4. Add the numbers 1 3/4 and 12 2/4. This gives you 13 5/4. This can be simplified into 14 1/4