 # What is 1/7 - 2/6? Here's how to subtract 2/6 from 1/7:

 1 7
 2 6

## 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 1 by 6, and get 6.

Then we multiply 2 by 7, and get 14.

Next we give both terms new denominators -- 7 × 6 = 42.

So now our fractions look like this:

 6 42
 14 42

## Step 2

Since our denominators match, we can subtract the numerators.

6 − 14 = -8

 -8 42

## 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:

 -8 42
÷ 2 =
 -4 21

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 -4. So we're done reducing.

There you have it! The final answer is:
 1 7
 2 6
=
 4 21