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Write 7/12 as a percent

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

Step by step

The question

Question: write 7/12 as a percent.

712

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%.

= 712 × 100%

7 times 100 is 700.

= 7 × 10012% = 70012%

700 and 12 can both be divided by 4.

That keeps the numbers small: 175/3 percent.

= 700 ÷ 412 ÷ 4% = 1753%

2 Divide

175 divided by 3 is 58, with 1 left over.

175 ÷ 3 = 58 r 1

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

So it is 58⅓%.

= 5813%

Careful!

58% is not exact.

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

Careful: not 58% ✗

3 Check

Let's check.

12 times our answer should be 7 times 100%, because 12 times 7/12 is 7.

12 times 58 is 696.

12 times 1/3 is 4.

12 × 58% = 696%, 12 × 13% = 4%

696 plus 4 is 700%: 7 wholes.

So the answer is right!

696% + 4% = 700% = 7 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 58% ✗

Your turn

Try this one yourself, then check:

Write 112 as a percent
Show the answer
813%

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