math help

What is 9/32 + 6/8?

What is 9/32 + 6/8?

This is how to add

9
32
+
6
8

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

32 goes into 8 evenly, so we only need to multiply one term to get a common denominator.

Multiply 6 by 4, and get 24, then we multiply 8 by 4 and get 32.

6/8 times 4

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

9
32
+
24
32

Step 2

Since our denominators match, we can add the numerators.

9 + 24 = 33

That gives us the sum, which is

33
32

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...

No good. 37 is larger than 33. So we're done reducing.

Congratulations! Here's your final answer to 9/32 + 6/8

9
32
+
6
8
=
33
32
© 2014 Randy Tayler