math help

What is 4/8 - 5/11?

What is 4/8 - 5/11?

Here's how to subtract 5/11 from 4/8:

4
8
5
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 4 by 11, and get 44.

Then we multiply 5 by 8, and get 40.

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

So now our fractions look like this:

44
88
40
88

Step 2

Since our denominators match, we can subtract the numerators.

44 − 40 = 4

So the answer is:

4
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...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

4
88
÷ 2 =
2
44

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2
44
÷ 2 =
1
22

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
4
8
5
11
=
1
22