math help

What is 4/3 + 2/6?

What is 4/3 + 2/6?

Let's add

4
3
+
2
6

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 4 by 2, and get 8, then we multiply 3 by 2 and get 6.

4/3 times 2

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

8
6
+
2
6

Step 2

Since our denominators match, we can add the numerators.

8 + 2 = 10

That gives us the sum, which is

10
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:

10
6
÷ 2 =
5
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 3. So we're done reducing.

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

4
3
+
2
6
=
5
3
© 2014 Randy Tayler