math help

What is 8/12 + 5/6?

What is 8/12 + 5/6?

This is how we add

8
12
+
5
6

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 5 by 2, and get 10, then we multiply 6 by 2 and get 12.

5/6 times 2

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

8
12
+
10
12

Step 2

Since our denominators match, we can add the numerators.

8 + 10 = 18

That gives us the sum, which is

18
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:

18
12
÷ 2 =
9
6

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:

9
6
÷ 3 =
3
2

Now, try the same number again.

No good. 3 is larger than 2. So we're done reducing.

Congratulations! Here's your final answer to 8/12 + 5/6

8
12
+
5
6
=
3
2
© 2014 Randy Tayler