 # What is 5/12 + 2/8? 5 12
+
 2 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 5 by 8, and get 40, then we multiply 12 by 8 and get 96. Now for the second term. You multiply 2 by 12, and get 24, then multiply 12 by 8 and get 96. We now have a new problem, that looks like this:

 40 96
+
 24 96

## Step 2

Since our denominators match, we can add the numerators.

40 + 24 = 64

 64 96

## 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:

 64 96
÷ 2 =
 32 48

Let's try dividing by that again...

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

 32 48
÷ 2 =
 16 24

Let's try dividing by that again...

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

 16 24
÷ 2 =
 8 12

Let's try dividing by that again...

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

 8 12
÷ 2 =
 4 6

Let's try dividing by that again...

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

 4 6
÷ 2 =
 2 3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

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

There you have it! Here's the final answer to 5/12 + 2/8

 5 12
+
 2 8
=
 2 3