math help

What is 6/11 - 1/2?

What is 6/11 - 1/2?

Here's how to subtract 1/2 from 6/11:

6
11
1
2

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 6 by 2, and get 12.

Then we multiply 1 by 11, and get 11.

Next we give both terms new denominators -- 11 × 2 = 22.

So now our fractions look like this:

12
22
11
22

Step 2

Since our denominators match, we can subtract the numerators.

12 − 11 = 1

So the answer is:

1
22

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:
6
11
1
2
=
1
22