math help

What is 2/7 - 2/8?

What is 2/7 - 2/8?

Here's how to subtract 2/8 from 2/7:

2
7
2
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 2 by 8, and get 16.

Then we multiply 2 by 7, and get 14.

Next we give both terms new denominators -- 7 × 8 = 56.

So now our fractions look like this:

16
56
14
56

Step 2

Since our denominators match, we can subtract the numerators.

16 − 14 = 2

So the answer is:

2
56

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:

2
56
÷ 2 =
1
28

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:
2
7
2
8
=
1
28