math help

What is 4/40 + 7/8?

What is 4/40 + 7/8?

This is how we add

4
40
+
7
8

Step 1

We have to make sure the denominators are equal.

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

Multiply 7 by 5, and get 35, then we multiply 8 by 5 and get 40.

7/8 times 5

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

4
40
+
35
40

Step 2

Since our denominators match, we can add the numerators.

4 + 35 = 39

Answer:

39
40

Step 3

Now, do we need to simplify this fraction?

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. 41 is larger than 39. So we're done reducing.

And we're done! Here's the final answer to 4/40 + 7/8

4
40
+
7
8
=
39
40
© 2014 Randy Tayler