 # What is 9/12 - 6/10? Here's how to subtract 6/10 from 9/12:

 9 12
 6 10

## 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 10, and get 90.

Then we multiply 6 by 12, and get 72.

Next we give both terms new denominators -- 12 × 10 = 120.

So now our fractions look like this:

 90 120
 72 120

## Step 2

Since our denominators match, we can subtract the numerators.

90 − 72 = 18

 18 120

## 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:

 18 120
÷ 2 =
 9 60

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

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

 9 60
÷ 3 =
 3 20

Let's try dividing by 3 again...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! The final answer is:
 9 12
 6 10
=
 3 20