math help

What is 9/100 - 1/12?

What is 9/100 - 1/12?

Here's how to subtract 1/12 from 9/100:

9
100
1
12

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. 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 12, and get 108.

Then we multiply 1 by 100, and get 100.

Next we give both terms new denominators -- 100 × 12 = 1200.

So now our fractions look like this:

108
1200
100
1200

Step 2

Since our denominators match, we can subtract the numerators.

108 − 100 = 8

So the answer is:

8
1200

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:

8
1200
÷ 2 =
4
600

Let's try dividing by 2 again...

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

4
600
÷ 2 =
2
300

Let's try dividing by 2 again...

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

2
300
÷ 2 =
1
150

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
9
100
1
12
=
1
150