 # What is 2/6 + 4/12? This is how we add

 2 6
+
 4 12

## Step 1

Now we need to make our denominators match.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 6 by 2 and get 12. So now our fractions look like this:

 4 12
+
 4 12

## Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

So the answer is:

 8 12

## Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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 2/6 + 4/12

 2 6
+
 4 12
=
 2 3
© 2014 Randy Tayler