math help

What is 100/24 + 1/8?

What is 100/24 + 1/8?

Here's how to add

100
24
+
1
8

Step 1

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

24 goes into 8 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 3, and get 3, then we multiply 8 by 3 and get 24.

1/8 times 3

This gives us a new problem that looks like so:

100
24
+
3
24

Step 2

Since our denominators match, we can add the numerators.

100 + 3 = 103

So what's the answer so far?

103
24

Step 3

Can this fraction be reduced?

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...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 24. So we're done reducing.

Congratulations! Here's your final answer to 100/24 + 1/8

100
24
+
1
8
=
103
24
© 2014 Randy Tayler