Write 6/8 as a percent

Step by step

The question

Question: write 6/8 as a percent.

1 Simplify first

6 and 8 can both be divided by 2.

Smaller numbers are easier.

So it is 3/4.

2 Make the bottom 100

Percent means out of 100.

So we want a bottom of 100.

4 times 25 is 100.

We multiply the top and the bottom by 25.

25/25 is 1, so the value stays the same.

3 times 25 is 75.

So we get 75/100.

Careful!

As a decimal, 6/8 is 0.75.

But 0.75% means 0.75 out of 100: far too small.

3 Write the percent

75 out of 100 is 75%.

4 Check

Let's check: go back.

75% is 75/100.

Divide the top and the bottom by 25.

We get 3/4, the same as 6/8.

So the answer is right!

Let's look back.

First: simplify first.

Then: make the bottom 100.

Then: write the percent.

Last: check.