math help

What is 64/17 + 1/3?

What is 64/17 + 1/3?

Let's add

64
17
+
1
3

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 3, and get 192, then we multiply 17 by 3 and get 51.

64/17 times 3

Now for the second term. You multiply 1 by 17, and get 17, then multiply 17 by 3 and get 51.

1/3 times 17

This gives us a new problem that looks like so:

192
51
+
17
51

Step 2

Since our denominators match, we can add the numerators.

192 + 17 = 209

So what's the answer so far?

209
51

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

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

Congratulations! Here's your final answer to 64/17 + 1/3

64
17
+
1
3
=
209
51
© 2014 Randy Tayler