math help

What is 87/100 - 7/8?

What is 87/100 - 7/8?

Here's how to subtract 7/8 from 87/100:

87
100
7
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 87 by 8, and get 696.

Then we multiply 7 by 100, and get 700.

Next we give both terms new denominators -- 100 × 8 = 800.

So now our fractions look like this:

696
800
700
800

Step 2

Since our denominators match, we can subtract the numerators.

696 − 700 = -4

So the answer is:

-4
800

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
800
÷ 2 =
-2
400

Let's try dividing by 2 again...

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

-2
400
÷ 2 =
-1
200

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:
87
100
7
8
=
1
200