math help

What is 45/4 + 6/12?

What is 45/4 + 6/12?

Here's how we add

45
4
+
6
12

Step 1

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

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

Multiply 45 by 3, and get 135, then we multiply 4 by 3 and get 12.

45/4 times 3

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

135
12
+
6
12

Step 2

Since our denominators match, we can add the numerators.

135 + 6 = 141

Answer:

141
12

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

141
12
÷ 3 =
47
4

Now, try the same number again.

Nope. Try the next prime number, 5...

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

Congratulations! Here's your final answer to 45/4 + 6/12

45
4
+
6
12
=
47
4
© 2014 Randy Tayler