What is 6/19 + 10/12?
|
Here's 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 6 by 12, and get 72, then we multiply 19 by 12 and get 228. Now for the second term. You multiply 10 by 19, and get 190, then multiply 19 by 12 and get 228. We now have a new problem, that looks like this:
|
||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 72 + 190 = 262 That gives us the sum, which is
|
||||||||||||||||||
Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... Are both the numerator and the denominator evenly divisible by 2? 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 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. So next you try the next prime number, which is 13... No good. So next you try the next prime number, which is 17... No good. So next you try the next prime number, which is 19... No good. So next you try the next prime number, which is 23... No good. So next you try the next prime number, which is 29... No good. So next you try the next prime number, which is 31... No good. So next you try the next prime number, which is 37... No good. So next you try the next prime number, which is 41... No good. So next you try the next prime number, which is 43... No good. So next you try the next prime number, which is 47... No good. So next you try the next prime number, which is 53... No good. So next you try the next prime number, which is 59... No good. So next you try the next prime number, which is 61... No good. So next you try the next prime number, which is 67... No good. So next you try the next prime number, which is 71... No good. So next you try the next prime number, which is 73... No good. So next you try the next prime number, which is 79... No good. So next you try the next prime number, which is 83... No good. So next you try the next prime number, which is 89... No good. So next you try the next prime number, which is 97... No good. So next you try the next prime number, which is 101... No good. So next you try the next prime number, which is 103... No good. So next you try the next prime number, which is 107... No good. So next you try the next prime number, which is 109... No good. So next you try the next prime number, which is 113... No good. So next you try the next prime number, which is 127... No good. 127 is larger than 114. So we're done reducing. And we're done! Here's the final answer to 6/19 + 10/12
|