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Write 1/12 as a percent

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

Step by step

The question

Question: write 1/12 as a percent.

112

1 Multiply by 100%

Percent means out of 100.

But 12 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%.

= 112 × 100%

1 times 100 is 100.

= 1 × 10012% = 10012%

100 and 12 can both be divided by 4.

That keeps the numbers small: 25/3 percent.

= 100 ÷ 412 ÷ 4% = 253%

2 Divide

25 divided by 3 is 8, with 1 left over.

25 ÷ 3 = 8 r 1

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

So it is 8⅓%.

= 813%

Careful!

8% is not exact.

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

Careful: not 8% ✗

3 Check

Let's check.

12 times our answer should be 1 times 100%, because 12 times 1/12 is 1.

12 times 8 is 96.

12 times 1/3 is 4.

12 × 8% = 96%, 12 × 13% = 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 8% ✗

Your turn

Try this one yourself, then check:

Write 215 as a percent
Show the answer
1313%

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