math help

What is 3/64 + 5/8?

What is 3/64 + 5/8?

This is how we add

3
64
+
5
8

Step 1

We have to make sure the denominators are equal.

Since 8 is evenly divided by 64, we can multiply just one term to get a common denominator.

Multiply 5 by 8, and get 40, then we multiply 8 by 8 and get 64.

5/8 times 8

So now our fractions look like this:

3
64
+
40
64

Step 2

Since our denominators match, we can add the numerators.

3 + 40 = 43

So the answer is:

43
64

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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. 47 is larger than 43. So we're done reducing.

And we're done! Here's the final answer to 3/64 + 5/8

3
64
+
5
8
=
43
64
© 2014 Randy Tayler