math help

What is 64/17 + 3/5?

What is 64/17 + 3/5?

Here's how you add

64
17
+
3
5

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 64 by 5, and get 320, then we multiply 17 by 5 and get 85.

64/17 times 5

Now for the second term. You multiply 3 by 17, and get 51, then multiply 17 by 5 and get 85.

3/5 times 17

This gives us a new problem that looks like so:

320
85
+
51
85

Step 2

Since our denominators match, we can add the numerators.

320 + 51 = 371

That gives us an answer of

371
85

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. So next you try the next prime number, which is 79...

No good. So next you try the next prime number, which is 83...

No good. So next you try the next prime number, which is 89...

No good. 89 is larger than 85. So we're done reducing.

And we're done! Here's the final answer to 64/17 + 3/5

64
17
+
3
5
=
371
85
© 2014 Randy Tayler