 # What is 2/3 - 6/10? Here's how to subtract 6/10 from 2/3:

 2 3
 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 2 by 10, and get 20.

Then we multiply 6 by 3, and get 18.

Next we give both terms new denominators -- 3 × 10 = 30.

So now our fractions look like this:

 20 30
 18 30

## Step 2

Since our denominators match, we can subtract the numerators.

20 − 18 = 2

 2 30

## 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:

 2 30
÷ 2 =
 1 15

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:
 2 3
 6 10
=
 1 15