 # What is 10/11 - 3/12? Here's how to subtract 3/12 from 10/11:

 10 11
 3 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 10 by 12, and get 120.

Then we multiply 3 by 11, and get 33.

Next we give both terms new denominators -- 11 × 12 = 132.

So now our fractions look like this:

 120 132
 33 132

## Step 2

Since our denominators match, we can subtract the numerators.

120 − 33 = 87

So the answer is:

 87 132

## 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...

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:

 87 132
÷ 3 =
 29 44

Let's try dividing by 3 again...

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

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

No good. 31 is larger than 29. So we're done reducing.

There you have it! The final answer is:
 10 11
 3 12
=
 29 44