math help

What is 64/17 + 6/9?

What is 64/17 + 6/9?

Here's how you add

64
17
 +
6
9

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 64 by 9, and get 576, then we multiply 17 by 9 and get 153.

64/17 times 9

Do the same for the second term. We multiply 6 by 17, and get 102, then multiply 17 by 9 and get 153.

6/9 times 17

So now our fractions look like this:

576
153
 +
102
153

Step 2

Since our denominators match, we can add the numerators.

576 + 102 = 678

So the answer is:

678
153

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

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

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

678
153
 ÷ 3 =
226
51

Let's try dividing by that again...

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 64/17 + 6/9

64
17
 +
6
9
 =
226
51
© 2014 Randy Tayler

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