math help

What is 100/24 + 7/8?

What is 100/24 + 7/8?

This is how to add

100
24
+
7
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 7 by 3, and get 21, then we multiply 8 by 3 and get 24.

7/8 times 3

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

100
24
+
21
24

Step 2

Since our denominators match, we can add the numerators.

100 + 21 = 121

Answer:

121
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...

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 + 7/8

100
24
+
7
8
=
121
24
© 2014 Randy Tayler