1. 2 3/4 + 1 1/4
This problem is a simple addition problem, all you have to do is add 2+1 (3) and then if the denominator of the fractions are the same, then you add freely without changing the denominator. So we add 3/4+1/4 (4/4) If the numerator is equivalent or greater than the denominator; we "Convert". So, since the numerator is equal to the denominator; we will Convert that fraction into a whole number (1) because a fraction is nothing but a part. If all the parts of the fraction are put together, then we will get a whole. After that we add the 1 to the 3 (4). The answer to this problem is 3.
2. 2 3/4 + 2 3/4
This problem is relatively easy. Do the steps above, but you will see that the fraction has turned into a improper fraction (6/4) Now, if you've already subtracted 4 from the numerator, then you've done a great job! Now we add 1 to the whole numbers, making it 5, but we still have work to do. There are still 2 parts left to the fraction, which means we have to make a mixed number. All you do is take the 5 and put 2 over 4, we can reduce the fraction, so let's go ahead and do so. The answer to this problem would be 5 1/2.