math help

What is 64/17 + 10/12?

What is 64/17 + 10/12?

Here's how you add

64
17
 +
10
12

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 64 by 12, and get 768, then we multiply 17 by 12 and get 204.

64/17 times 12

Now for the second term. You multiply 10 by 17, and get 170, then multiply 17 by 12 and get 204.

10/12 times 17

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

768
204
 +
170
204

Step 2

Since our denominators match, we can add the numerators.

768 + 170 = 938

That gives us the sum, which is

938
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:

938
204
 ÷ 2 =
469
102

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

No good. 103 is larger than 102. So we're done reducing.

Congratulations! Here's your final answer to 64/17 + 10/12

64
17
 +
10
12
 =
469
102
© 2014 Randy Tayler

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