math help

What is 2/12 + 2/3?

What is 2/12 + 2/3?

Here's how you add

2
12
+
2
3

Step 1

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

12 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 4, and get 8, then we multiply 3 by 4 and get 12.

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

2
12
+
8
12

Step 2

Since our denominators match, we can add the numerators.

2 + 8 = 10

Answer:

10
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:

10
12
÷ 2 =
5
6

Now, try the same number again.

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

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

Nope. Try the next prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

Congratulations! Here's your final answer to 2/12 + 2/3

2
12
+
2
3
=
5
6
© 2014 Randy Tayler