math help

What is 3/64 + 3/4?

What is 3/64 + 3/4?

Here's how we add

3
64
+
3
4

Step 1

We have to make sure the denominators are equal.

Since 4 is evenly divided by 64, we can multiply just one term to get a common denominator.

Multiply 3 by 16, and get 48, then we multiply 4 by 16 and get 64.

3/4 times 16

The problem now has new fractions to add:

3
64
+
48
64

Step 2

Since our denominators match, we can add the numerators.

3 + 48 = 51

This yields the answer

51
64

Step 3

The last step is to reduce the fraction if we can.

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. So next you try the next prime number, which is 53...

No good. 53 is larger than 51. So we're done reducing.

And we're done! Here's the final answer to 3/64 + 3/4

3
64
+
3
4
=
51
64
© 2014 Randy Tayler