math help

What is 91/6 + 6/8?

What is 91/6 + 6/8?

This is how to add

91
6
+
6
8

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 8, and get 728, then we multiply 6 by 8 and get 48.

91/6 times 8

Now for the second term. You multiply 6 by 6, and get 36, then multiply 6 by 8 and get 48.

6/8 times 6

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

728
48
+
36
48

Step 2

Since our denominators match, we can add the numerators.

728 + 36 = 764

That gives us the sum, which is

764
48

Step 3

Now, do we need to simplify this fraction?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

764
48
÷ 2 =
382
24

Let's try dividing by that again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

382
24
÷ 2 =
191
12

Let's try dividing by that again...

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...

No good. 13 is larger than 12. So we're done reducing.

There you have it! Here's the final answer to 91/6 + 6/8

91
6
+
6
8
=
191
12
© 2014 Randy Tayler