math help

What is 9/11 + 5/6?

What is 9/11 + 5/6?

This is how we add

9
11
 +
5
6

Step 1

Can 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 9 by 6, and get 54, then we multiply 11 by 6 and get 66.

9/11 times 6

Now for the second term. You multiply 5 by 11, and get 55, then multiply 11 by 6 and get 66.

5/6 times 11

We now have a new problem, that looks like this:

54
66
 +
55
66

Step 2

Since our denominators match, we can add the numerators.

54 + 55 = 109

That gives us the sum, which is

109
66

Step 3

Now, 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...

No good. 67 is larger than 66. So we're done reducing.

Congratulations! Here's your final answer to 9/11 + 5/6

9
11
 +
5
6
 =
109
66
© 2014 Randy Tayler

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