math help

What is 91/6 + 9/11?

What is 91/6 + 9/11?

Here's how you add

91
6
+
9
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 9 by 6, and get 54, then multiply 6 by 11 and get 66.

9/11 times 6

This gives us a new problem that looks like so:

1001
66
+
54
66

Step 2

Since our denominators match, we can add the numerators.

1001 + 54 = 1055

So what's the answer so far?

1055
66

Step 3

Can this fraction be reduced?

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 + 9/11

91
6
+
9
11
=
1055
66
© 2014 Randy Tayler