math help

What is 6/8 - 3/5?

What is 6/8 - 3/5?

Here's how to subtract 3/5 from 6/8:

6
8
3
5

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 6 by 5, and get 30.

Then we multiply 3 by 8, and get 24.

Next we give both terms new denominators -- 8 × 5 = 40.

So now our fractions look like this:

30
40
24
40

Step 2

Since our denominators match, we can subtract the numerators.

30 − 24 = 6

So the answer is:

6
40

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:

6
40
÷ 2 =
3
20

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! The final answer is:
6
8
3
5
=
3
20