math help

What is 9/32 + 8/12?

What is 9/32 + 8/12?

Here's how you add

9
32
 +
8
12

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 12, and get 108, then we multiply 32 by 12 and get 384.

9/32 times 12

Now for the second term. You multiply 8 by 32, and get 256, then multiply 32 by 12 and get 384.

8/12 times 32

This gives us a new problem that looks like so:

108
384
 +
256
384

Step 2

Since our denominators match, we can add the numerators.

108 + 256 = 364

So what's the answer so far?

364
384

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:

364
384
 ÷ 2 =
182
192

Now, try the same number again.

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

182
192
 ÷ 2 =
91
96

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...

No good. 97 is larger than 91. So we're done reducing.

Congratulations! Here's your final answer to 9/32 + 8/12

9
32
 +
8
12
 =
91
96
© 2014 Randy Tayler

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