math help

What is 3/20 - 1/8?

What is 3/20 - 1/8?

Here's how to subtract 1/8 from 3/20:

3
20
1
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 3 by 8, and get 24.

Then we multiply 1 by 20, and get 20.

Next we give both terms new denominators -- 20 × 8 = 160.

So now our fractions look like this:

24
160
20
160

Step 2

Since our denominators match, we can subtract the numerators.

24 − 20 = 4

So the answer is:

4
160

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
160
÷ 2 =
2
80

Let's try dividing by 2 again...

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

2
80
÷ 2 =
1
40

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:
3
20
1
8
=
1
40