math help

What is 9/34 + 2/6?

What is 9/34 + 2/6?

This is how you add

9
34
 +
2
6

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, 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 2 by 34, and get 68, then multiply 34 by 6 and get 204.

2/6 times 34

We now have a new problem, that looks like this:

54
204
 +
68
204

Step 2

Since our denominators match, we can add the numerators.

54 + 68 = 122

Answer:

122
204

Step 3

Now, do we need to simplify this fraction?

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

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

122
204
 ÷ 2 =
61
102

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

No good. 67 is larger than 61. So we're done reducing.

There you have it! Here's the final answer to 9/34 + 2/6

9
34
 +
2
6
 =
61
102
© 2014 Randy Tayler

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