math help

What is 3/24 + 4/12?

What is 3/24 + 4/12?

Let's add

3
24
 +
4
12

Step 1

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

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

Multiply 4 by 2, and get 8, then we multiply 12 by 2 and get 24.

4/12 times 2

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

3
24
 +
8
24

Step 2

Since our denominators match, we can add the numerators.

3 + 8 = 11

Answer:

11
24

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...

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

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

No good. 13 is larger than 11. So we're done reducing.

Congratulations! Here's your final answer to 3/24 + 4/12

3
24
 +
4
12
 =
11
24
© 2014 Randy Tayler

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