math help

What is 9/34 + 4/6?

What is 9/34 + 4/6?

Here's how we add

9
34
 +
4
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 9 by 6, and get 54, then we multiply 34 by 6 and get 204.

9/34 times 6

Now for the second term. You multiply 4 by 34, and get 136, then multiply 34 by 6 and get 204.

4/6 times 34

This gives us a new problem that looks like so:

54
204
 +
136
204

Step 2

Since our denominators match, we can add the numerators.

54 + 136 = 190

So what's the answer so far?

190
204

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:

190
204
 ÷ 2 =
95
102

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. 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. So next you try the next prime number, which is 97...

No good. 97 is larger than 95. So we're done reducing.

And we're done! Here's the final answer to 9/34 + 4/6

9
34
 +
4
6
 =
95
102
© 2014 Randy Tayler

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