 # What is 2/9 + 2/6? 2 9
+
 2 6

## 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 2 by 6, and get 12, then we multiply 9 by 6 and get 54. Now for the second term. You multiply 2 by 9, and get 18, then multiply 9 by 6 and get 54. We now have a new problem, that looks like this:

 12 54
+
 18 54

## Step 2

Since our denominators match, we can add the numerators.

12 + 18 = 30

 30 54

## 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:

 30 54
÷ 2 =
 15 27

Now, try the same number again.

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

 15 27
÷ 3 =
 5 9

Now, try the same number again.

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

No good. 7 is larger than 5. So we're done reducing.