Here's how we add


Step 1Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term. So, we multiply 1 by 5, and get 5, then we multiply 2 by 5 and get 10. Now for the second term. You multiply 3 by 2, and get 6, then multiply 2 by 5 and get 10. We now have a new problem, that looks like this:


Step 2Since our denominators match, we can add the numerators. 5 + 6 = 11 Answer:


Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... No good. So next you try the next prime number, which is 3... No good. So next you try the next prime number, which is 5... No good. So next you try the next prime number, which is 7... No good. So next you try the next prime number, which is 11... No good. 11 is larger than 10. So we're done reducing. And we're done! Here's the final answer to 1/2 + 3/5
