# What is 3/8 - 3/10?

Here's how to subtract 3/10 from 3/8:

 3 8
 3 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 3 by 10, and get 30.

Then we multiply 3 by 8, and get 24.

Next we give both terms new denominators -- 8 × 10 = 80.

So now our fractions look like this:

 30 80
 24 80

## Step 2

Since our denominators match, we can subtract the numerators.

30 − 24 = 6

 6 80

## 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:

 6 80
÷ 2 =
 3 40

Let's try dividing by 2 again...

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

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:
 3 8
 3 10
=
 3 40