math help

What is 100/72 + 5/8?

What is 100/72 + 5/8?

This is how we add

100
72
+
5
8

Step 1

We have to make sure the denominators are equal.

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

Multiply 5 by 9, and get 45, then we multiply 8 by 9 and get 72.

5/8 times 9

This gives us a new problem that looks like so:

100
72
+
45
72

Step 2

Since our denominators match, we can add the numerators.

100 + 45 = 145

That gives us an answer of

145
72

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. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. So next you try the next prime number, which is 59...

No good. So next you try the next prime number, which is 61...

No good. So next you try the next prime number, which is 67...

No good. So next you try the next prime number, which is 71...

No good. So next you try the next prime number, which is 73...

No good. 73 is larger than 72. So we're done reducing.

And we're done! Here's the final answer to 100/72 + 5/8

100
72
+
5
8
=
145
72
© 2014 Randy Tayler