math help

What is 100/24 + 3/12?

What is 100/24 + 3/12?

This is how to add

100
24
+
3
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 3 by 2, and get 6, then we multiply 12 by 2 and get 24.

3/12 times 2

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

100
24
+
6
24

Step 2

Since our denominators match, we can add the numerators.

100 + 6 = 106

Answer:

106
24

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:

106
24
÷ 2 =
53
12

Now, try the same number again.

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 12. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 3/12

100
24
+
3
12
=
53
12
© 2014 Randy Tayler