math help

What is 7/11 - 5/8?

What is 7/11 - 5/8?

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

7
11
5
8

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 7 by 8, and get 56.

Then we multiply 5 by 11, and get 55.

Next we give both terms new denominators -- 11 × 8 = 88.

So now our fractions look like this:

56
88
55
88

Step 2

Since our denominators match, we can subtract the numerators.

56 − 55 = 1

So the answer is:

1
88

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:
7
11
5
8
=
1
88