math help

What is 2/3 - 3/4?

What is 2/3 - 3/4?

Here's how to subtract 3/4 from 2/3:

2
3
3
4

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 4, and get 8.

Then we multiply 3 by 3, and get 9.

Next we give both terms new denominators -- 3 × 4 = 12.

So now our fractions look like this:

8
12
9
12

Step 2

Since our denominators match, we can subtract the numerators.

8 − 9 = -1

So the answer is:

-1
12

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.

There you have it! The final answer is:
2
3
3
4
=
1
12