# What is 1/6 + 2/4?

This is how to add

 1 6
+
 2 4

## Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 1 by 4, and get 4, then we multiply 6 by 4 and get 24.

Now for the second term. You multiply 2 by 6, and get 12, then multiply 6 by 4 and get 24.

This gives us a new problem that looks like so:

 4 24
+
 12 24

## Step 2

Since our denominators match, we can add the numerators.

4 + 12 = 16

So what's the answer so far?

 16 24

## Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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.

Congratulations! Here's your final answer to 1/6 + 2/4

 1 6
+
 2 4
=
 2 3
© 2014 Randy Tayler