math help

What is 2/6 + 4/12?

What is 2/6 + 4/12?

This is how we add

2
6
+
4
12

Step 1

Now we need to make our denominators match.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 6 by 2 and get 12.

So now our fractions look like this:

4
12
+
4
12

Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

So the answer is:

8
12

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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

8
12
÷ 2 =
4
6

Let's try dividing by that again...

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

4
6
÷ 2 =
2
3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

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

There you have it! Here's the final answer to 2/6 + 4/12

2
6
+
4
12
=
2
3
© 2014 Randy Tayler