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Write 1/3 as a percent

Step by step, with the reason for every step · Percent · Foundations

Step by step

The question

Question: write 1/3 as a percent.

13

1 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.

100% = 1 whole

So we multiply by 100%.

= 13 × 100%

1 times 100 is 100.

So it is 100/3 percent.

= 1 × 1003% = 1003%

2 Divide

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

100 ÷ 3 = 33 r 1

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

So it is 33⅓%.

= 3313%

Careful!

33% is not exact.

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

Careful: not 33% ✗

3 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.

3 × 33% = 99%, 3 × 13% = 1%

99 plus 1 is 100%: one whole.

So the answer is right!

99% + 1% = 100% = 1 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 33% ✗

Your turn

Try this one yourself, then check:

Write 49 as a percent
Show the answer
4449%

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