math help

What is 91/6 + 3/11?

What is 91/6 + 3/11?

This is how to add

91
6
+
3
11

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 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 3 by 6, and get 18, then multiply 6 by 11 and get 66.

3/11 times 6

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

1001
66
+
18
66

Step 2

Since our denominators match, we can add the numerators.

1001 + 18 = 1019

That gives us the sum, which is

1019
66

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

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

There you have it! Here's the final answer to 91/6 + 3/11

91
6
+
3
11
=
1019
66
© 2014 Randy Tayler