 # What is 8/10 - 6/12? Here's how to subtract 6/12 from 8/10:

 8 10
 6 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 8 by 12, and get 96.

Then we multiply 6 by 10, and get 60.

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

So now our fractions look like this:

 96 120
 60 120

## Step 2

Since our denominators match, we can subtract the numerators.

96 − 60 = 36

So the answer is:

 36 120

## 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:

 36 120
÷ 2 =
 18 60

Let's try dividing by 2 again...

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

 18 60
÷ 2 =
 9 30

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 30
÷ 3 =
 3 10

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:
 8 10
 6 12
=
 3 10