math help

What is 8/9 - 7/8?

What is 8/9 - 7/8?

Here's how to subtract 7/8 from 8/9:

8
9
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 8 by 8, and get 64.

Then we multiply 7 by 9, and get 63.

Next we give both terms new denominators -- 9 × 8 = 72.

So now our fractions look like this:

64
72
63
72

Step 2

Since our denominators match, we can subtract the numerators.

64 − 63 = 1

So the answer is:

1
72

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...

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

There you have it! The final answer is:
8
9
7
8
=
1
72