math help

What is 1/12 - 1/11?

What is 1/12 - 1/11?

Here's how to subtract 1/11 from 1/12:

1
12
1
11

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 11, and get 11.

Then we multiply 1 by 12, and get 12.

Next we give both terms new denominators -- 12 × 11 = 132.

So now our fractions look like this:

11
132
12
132

Step 2

Since our denominators match, we can subtract the numerators.

11 − 12 = -1

So the answer is:

-1
132

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:
1
12
1
11
=
1
132