math help

What is 9/34 + 5/6?

What is 9/34 + 5/6?

Here's how you add

9
34
 +
5
6

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 9 by 6, and get 54, then we multiply 34 by 6 and get 204.

9/34 times 6

Do the same for the second term. We multiply 5 by 34, and get 170, then multiply 34 by 6 and get 204.

5/6 times 34

The problem now has new fractions to add:

54
204
 +
170
204

Step 2

Since our denominators match, we can add the numerators.

54 + 170 = 224

The sum we get is

224
204

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

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

224
204
 ÷ 2 =
112
102

Let's try dividing by that again...

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

112
102
 ÷ 2 =
56
51

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...

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

There you have it! Here's the final answer to 9/34 + 5/6

9
34
 +
5
6
 =
56
51
© 2014 Randy Tayler

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