What is 20/17 + 1/5?
|
Let's 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 20 by 5, and get 100, then we multiply 17 by 5 and get 85. Now for the second term. You multiply 1 by 17, and get 17, then multiply 17 by 5 and get 85. We now have a new problem, that looks like this:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 100 + 17 = 117 Answer:
|
|||||||||||
Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... Nope. Try the next prime number, 3... Nope. Try the next prime number, 5... Nope. Try the next prime number, 7... Nope. Try the next prime number, 11... Nope. Try the next prime number, 13... Nope. Try the next prime number, 17... Nope. Try the next prime number, 19... Nope. Try the next prime number, 23... Nope. Try the next prime number, 29... Nope. Try the next prime number, 31... Nope. Try the next prime number, 37... Nope. Try the next prime number, 41... Nope. Try the next prime number, 43... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... No good. 89 is larger than 85. So we're done reducing. Congratulations! Here's your final answer to 20/17 + 1/5
|