math help

What is 9/100 + 6/12?

What is 9/100 + 6/12?

Let's add

9
100
 +
6
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 9 by 12, and get 108, then we multiply 100 by 12 and get 1200.

9/100 times 12

Now for the second term. You multiply 6 by 100, and get 600, then multiply 100 by 12 and get 1200.

6/12 times 100

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

108
1200
 +
600
1200

Step 2

Since our denominators match, we can add the numerators.

108 + 600 = 708

That gives us the sum, which is

708
1200

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:

708
1200
 ÷ 2 =
354
600

Now, try the same number again.

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

354
600
 ÷ 2 =
177
300

Now, try the same number again.

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

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

177
300
 ÷ 3 =
59
100

Now, try the same number again.

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...

No good. 61 is larger than 59. So we're done reducing.

Congratulations! Here's your final answer to 9/100 + 6/12

9
100
 +
6
12
 =
59
100
© 2014 Randy Tayler

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