 # What is 3/10 + 6/12? This is how we add

 3 10
+
 6 12

## 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 3 by 12, and get 36, then we multiply 10 by 12 and get 120. Now for the second term. You multiply 6 by 10, and get 60, then multiply 10 by 12 and get 120. We now have a new problem, that looks like this:

 36 120
+
 60 120

## Step 2

Since our denominators match, we can add the numerators.

36 + 60 = 96

That gives us the sum, which is

 96 120

## 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:

 96 120
÷ 2 =
 48 60

Now, try the same number again.

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

 48 60
÷ 2 =
 24 30

Now, try the same number again.

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

 24 30
÷ 2 =
 12 15

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:

 12 15
÷ 3 =
 4 5

Now, try the same number again.

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

No good. 5 is larger than 4. So we're done reducing.

Congratulations! Here's your final answer to 3/10 + 6/12

 3 10
+
 6 12
=
 4 5
© 2014 Randy Tayler