 # What is 1/6 + 4/8? 1 6
+
 4 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 1 by 8, and get 8, then we multiply 6 by 8 and get 48. Now for the second term. You multiply 4 by 6, and get 24, then multiply 6 by 8 and get 48. We now have a new problem, that looks like this:

 8 48
+
 24 48

## Step 2

Since our denominators match, we can add the numerators.

8 + 24 = 32

 32 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:

 32 48
÷ 2 =
 16 24

Now, try the same number again.

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

 16 24
÷ 2 =
 8 12

Now, try the same number again.

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

 8 12
÷ 2 =
 4 6

Now, try the same number again.

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

 4 6
÷ 2 =
 2 3

Now, try the same number again.

Nope. Try the next prime number, 3...

No good. 3 is larger than 2. So we're done reducing. 