math help

What is 8/11 - 5/7?

What is 8/11 - 5/7?

Here's how to subtract 5/7 from 8/11:

8
11
5
7

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 8 by 7, and get 56.

Then we multiply 5 by 11, and get 55.

Next we give both terms new denominators -- 11 × 7 = 77.

So now our fractions look like this:

56
77
55
77

Step 2

Since our denominators match, we can subtract the numerators.

56 − 55 = 1

So the answer is:

1
77

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:
8
11
5
7
=
1
77