math help

What is 64/17 + 2/6?

What is 64/17 + 2/6?

Here's how you add

64
17
 +
2
6

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 6, and get 384, then we multiply 17 by 6 and get 102.

64/17 times 6

Now for the second term. You multiply 2 by 17, and get 34, then multiply 17 by 6 and get 102.

2/6 times 17

This gives us a new problem that looks like so:

384
102
 +
34
102

Step 2

Since our denominators match, we can add the numerators.

384 + 34 = 418

That gives us an answer of

418
102

Step 3

Can this fraction be reduced?

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

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

418
102
 ÷ 2 =
209
51

So far so good... let's try to divide by that number again.

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 64/17 + 2/6

64
17
 +
2
6
 =
209
51
© 2014 Randy Tayler

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