What is 2/3 - 5/7?

Here's how to subtract 5/7 from 2/3:

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 7, and get 14.

Then we multiply 5 by 3, and get 15.

Next we give both terms new denominators -- 3 × 7 = 21.

So now our fractions look like this:

Step 2

Since our denominators match, we can subtract the numerators.

14 − 15 = -1

So the answer is:

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...

No good. 2 is larger than -1. So we're done reducing.