math help

What is 4/40 - 1/8?

What is 4/40 - 1/8?

Here's how to subtract 1/8 from 4/40:

4
40
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 4 by 8, and get 32.

Then we multiply 1 by 40, and get 40.

Next we give both terms new denominators -- 40 × 8 = 320.

So now our fractions look like this:

32
320
40
320

Step 2

Since our denominators match, we can subtract the numerators.

32 − 40 = -8

So the answer is:

-8
320

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:

-8
320
÷ 2 =
-4
160

Let's try dividing by 2 again...

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:
4
40
1
8
=
1
40