 # What is 3/6 + 4/10? This is how you add

 3 6
+
 4 10

## 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 10, and get 30, then we multiply 6 by 10 and get 60. Now for the second term. You multiply 4 by 6, and get 24, then multiply 6 by 10 and get 60. We now have a new problem, that looks like this:

 30 60
+
 24 60

## Step 2

Since our denominators match, we can add the numerators.

30 + 24 = 54

That gives us the sum, which is

 54 60

## 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:

 54 60
÷ 2 =
 27 30

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

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

 27 30
÷ 3 =
 9 10

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 9. So we're done reducing.

And we're done! Here's the final answer to 3/6 + 4/10

 3 6
+
 4 10
=
 9 10
© 2014 Randy Tayler