math help

What is 100/24 + 9/12?

What is 100/24 + 9/12?

Here's how you add

100
24
+
9
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 9 by 2, and get 18, then we multiply 12 by 2 and get 24.

9/12 times 2

This gives us a new problem that looks like so:

100
24
+
18
24

Step 2

Since our denominators match, we can add the numerators.

100 + 18 = 118

That gives us an answer of

118
24

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

118
24
÷ 2 =
59
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 + 9/12

100
24
+
9
12
=
59
12
© 2014 Randy Tayler