What is 3/5 - 4/7?

Here's how to subtract 4/7 from 3/5:

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 7, and get 21.

Then we multiply 4 by 5, and get 20.

Next we give both terms new denominators -- 5 × 7 = 35.

So now our fractions look like this:

Step 2

Since our denominators match, we can subtract the numerators.

21 − 20 = 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.