math help

What is 9/32 + 5/6?

What is 9/32 + 5/6?

This is how we add

9
32
 +
5
6

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 9 by 6, and get 54, then we multiply 32 by 6 and get 192.

9/32 times 6

Do the same for the second term. We multiply 5 by 32, and get 160, then multiply 32 by 6 and get 192.

5/6 times 32

So now our fractions look like this:

54
192
 +
160
192

Step 2

Since our denominators match, we can add the numerators.

54 + 160 = 214

Now we have an answer.

214
192

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...

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

214
192
 ÷ 2 =
107
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 96. So we're done reducing.

Congratulations! Here's your final answer to 9/32 + 5/6

9
32
 +
5
6
 =
107
96
© 2014 Randy Tayler

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