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Write 7/6 as a percent

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

Step by step

The question

Question: write 7/6 as a percent.

76

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%.

= 76 × 100%

7 times 100 is 700.

= 7 × 1006% = 7006%

700 and 6 can both be divided by 2.

That keeps the numbers small: 350/3 percent.

= 700 ÷ 26 ÷ 2% = 3503%

2 Divide

350 divided by 3 is 116, with 2 left over.

350 ÷ 3 = 116 r 2

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

So it is 116⅔%.

= 11623%

Careful!

116% is not exact.

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

Careful: not 116% ✗

3 Check

Let's check.

6 times our answer should be 7 times 100%, because 6 times 7/6 is 7.

6 times 116 is 696.

6 times 2/3 is 4.

6 × 116% = 696%, 6 × 23% = 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 116% ✗

Your turn

Try this one yourself, then check:

Write 1715 as a percent
Show the answer
11313%

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