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Write 5/6 as a percent

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

Step by step

The question

Question: write 5/6 as a percent.

56

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%.

= 56 × 100%

5 times 100 is 500.

= 5 × 1006% = 5006%

500 and 6 can both be divided by 2.

That keeps the numbers small: 250/3 percent.

= 500 ÷ 26 ÷ 2% = 2503%

2 Divide

250 divided by 3 is 83, with 1 left over.

250 ÷ 3 = 83 r 1

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

So it is 83⅓%.

= 8313%

Careful!

83% is not exact.

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

Careful: not 83% ✗

3 Check

Let's check.

6 times our answer should be 5 times 100%, because 6 times 5/6 is 5.

6 times 83 is 498.

6 times 1/3 is 2.

6 × 83% = 498%, 6 × 13% = 2%

498 plus 2 is 500%: 5 wholes.

So the answer is right!

498% + 2% = 500% = 5 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 83% ✗

Your turn

Try this one yourself, then check:

Write 112 as a percent
Show the answer
813%

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