math help

What is 91/6 + 5/11?

What is 91/6 + 5/11?

Let's add

91
6
+
5
11

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 91 by 11, and get 1001, then we multiply 6 by 11 and get 66.

91/6 times 11

Now for the second term. You multiply 5 by 6, and get 30, then multiply 6 by 11 and get 66.

5/11 times 6

This gives us a new problem that looks like so:

1001
66
+
30
66

Step 2

Since our denominators match, we can add the numerators.

1001 + 30 = 1031

That gives us an answer of

1031
66

Step 3

Can this fraction be reduced?

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. 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. 67 is larger than 66. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 5/11

91
6
+
5
11
=
1031
66
© 2014 Randy Tayler