math help

What is 36/4 + 1/2?

What is 36/4 + 1/2?

Let's add

36
4
+
1
2

Step 1

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

4 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 2, and get 2, then we multiply 2 by 2 and get 4.

1/2 times 2

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

36
4
+
2
4

Step 2

Since our denominators match, we can add the numerators.

36 + 2 = 38

Answer:

38
4

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:

38
4
÷ 2 =
19
2

Now, try the same number again.

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

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

Congratulations! Here's your final answer to 36/4 + 1/2

36
4
+
1
2
=
19
2
© 2014 Randy Tayler