Write 2/6 as a percent

Step by step

The question

Question: write 2/6 as a percent.

1 Simplify first

2 and 6 can both be divided by 2.

Smaller numbers are easier.

So it is 1/3.

2 Multiply by 100%

Percent means out of 100.

But 3 does not go into 100 or 1000.

100% is all of it: 1 whole.

Times 1 does not change the size.

So we multiply by 100%.

1 times 100 is 100.

So it is 100/3 percent.

3 Divide

100 divided by 3 is 33, with 1 left over.

The 1 left over is still divided by 3: 1/3.

So it is 33⅓%.

Careful!

33% is not exact.

The 1 left over is part of the answer too: a third more.

4 Check

Let's check.

3 times our answer should be 1 times 100%, because 3 times 1/3 is 1.

3 times 33 is 99.

3 times 1/3 is 1.

99 plus 1 is 100%: one whole.

So the answer is right!

Let's look back.

First: simplify first.

Then: multiply by 100%.

Then: divide.

Last: check.