math help

What is 1/72 - 1/8?

What is 1/72 - 1/8?

Here's how to subtract 1/8 from 1/72:

1
72
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 1 by 8, and get 8.

Then we multiply 1 by 72, and get 72.

Next we give both terms new denominators -- 72 × 8 = 576.

So now our fractions look like this:

8
576
72
576

Step 2

Since our denominators match, we can subtract the numerators.

8 − 72 = -64

So the answer is:

-64
576

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:

-64
576
÷ 2 =
-32
288

Let's try dividing by 2 again...

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

-32
288
÷ 2 =
-16
144

Let's try dividing by 2 again...

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

-16
144
÷ 2 =
-8
72

Let's try dividing by 2 again...

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

-8
72
÷ 2 =
-4
36

Let's try dividing by 2 again...

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

-4
36
÷ 2 =
-2
18

Let's try dividing by 2 again...

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

-2
18
÷ 2 =
-1
9

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:
1
72
1
8
=
1
9