math help

What is 3/6 + 10/12?

What is 3/6 + 10/12?

This is how we add

3
6
+
10
12

Step 1

Our denominators (bottom numbers) don't match, so we can't add yet.

12 goes into 6 evenly, so we only need to multiply one term to get a common denominator.

Multiply 3 by 2, and get 6, then we multiply 6 by 2 and get 12.

We now have a new problem, that looks like this:

6
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

6 + 10 = 16

That gives us the sum, which is

16
12

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:

16
12
÷ 2 =
8
6

Now, try the same number again.

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

8
6
÷ 2 =
4
3

Now, try the same number again.

Nope. Try the next prime number, 3...

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 3/6 + 10/12

3
6
+
10
12
=
4
3
© 2014 Randy Tayler