math help

What is 4/6 + 2/3?

What is 4/6 + 2/3?

Let's add

4
6
+
2
3

Step 1

Now we need to make our denominators match.

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

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

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

4
6
+
4
6

Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

That gives us the sum, which is

8
6

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
6
÷ 2 =
4
3

Let's try dividing by that again...

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

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 4/6 + 2/3

4
6
+
2
3
=
4
3
© 2014 Randy Tayler