math help

What is 3/6 + 2/12?

What is 3/6 + 2/12?

This is how you add

3
6
+
2
12

Step 1

We have to make sure the denominators are equal.

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.

3/6 times 2

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

6
12
+
2
12

Step 2

Since our denominators match, we can add the numerators.

6 + 2 = 8

That gives us the sum, which is

8
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:

8
12
÷ 2 =
4
6

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

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

4
6
÷ 2 =
2
3

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...

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

And we're done! Here's the final answer to 3/6 + 2/12

3
6
+
2
12
=
2
3
© 2014 Randy Tayler