math help

What is 100/24 + 5/8?

What is 100/24 + 5/8?

Here's how we add

100
24
+
5
8

Step 1

We have to make sure the denominators are equal.

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

Multiply 5 by 3, and get 15, then we multiply 8 by 3 and get 24.

5/8 times 3

This gives us a new problem that looks like so:

100
24
+
15
24

Step 2

Since our denominators match, we can add the numerators.

100 + 15 = 115

That gives us an answer of

115
24

Step 3

Can this fraction be reduced?

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

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

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

And we're done! Here's the final answer to 100/24 + 5/8

100
24
+
5
8
=
115
24
© 2014 Randy Tayler