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Write 1/6 as a percent

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

Step by step

The question

Question: write 1/6 as a percent.

16

1 Multiply by 100%

Percent means out of 100.

But 6 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%.

= 16 × 100%

1 times 100 is 100.

= 1 × 1006% = 1006%

100 and 6 can both be divided by 2.

That keeps the numbers small: 50/3 percent.

= 100 ÷ 26 ÷ 2% = 503%

2 Divide

50 divided by 3 is 16, with 2 left over.

50 ÷ 3 = 16 r 2

The 2 left over is still divided by 3: 2/3.

So it is 16⅔%.

= 1623%

Careful!

16% is not exact.

The 2 left over is part of the answer too: two thirds more.

Careful: not 16% ✗

3 Check

Let's check.

6 times our answer should be 1 times 100%, because 6 times 1/6 is 1.

6 times 16 is 96.

6 times 2/3 is 4.

6 × 16% = 96%, 6 × 23% = 4%

96 plus 4 is 100%: one whole.

So the answer is right!

96% + 4% = 100% = 1 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 16% ✗

Your turn

Try this one yourself, then check:

Write 415 as a percent
Show the answer
2623%

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