Write 12.5% as a fraction

Step by step

The question

Question: write 12.5% as a fraction.

1 Write it over 100

Percent means out of 100.

So 12.5% is 12.5/100.

A fraction is written with whole numbers.

So we multiply the top and the bottom by 10.

12.5 times 10 is 125.

100 times 10 is 1000.

2 Simplify

125 and 1000 can both be divided by 125.

That makes it simpler.

So 12.5% is 1/8.

Can we make it simpler?

No number goes into both 1 and 8, except 1.

So it stays like this.

3 Check

Let's check: make the bottom 100 again.

8 times 125 is 1000.

1 times 125 is 125.

Divide the top and the bottom by 10: 12.5/100.

12.5 out of 100 is 12.5%.

So the answer is right!

Let's look back.

First: write it over 100.

Then: simplify.

Last: check.