This is how you 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 10, and get 10, then we multiply 7 by 10 and get 70. Now for the second term. You multiply 5 by 7, and get 35, then multiply 7 by 10 and get 70. We now have a new problem, that looks like this:


Step 2Since our denominators match, we can add the numerators. 10 + 35 = 45 That gives us the sum, which is


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... Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
So far so good... let's try to divide by that number again. 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 9. So we're done reducing. And we're done! Here's the final answer to 1/7 + 5/10
