How do you convert 0.667 into a percent and fraction?

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Answer 1 · 2016-06-04T16:36:02

$66.7 %$ $66.7%$

$\frac{667}{1000}$ $667/1000$

It is easier to do it the other way round in that you derive the fraction first.

For decimals you have in order of unit size:

$decimal point \frac{1}{10} + \frac{1}{100} + \frac{1}{1000}$ $"decimal point "1/10+1/100+1/1000$

So for the decimal given we have:

$\frac{6}{10} + \frac{6}{100} + \frac{7}{1000}$ $6/10+6/100+7/1000$

This can be written as: $\frac{667}{1000}$ $667/1000$
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To convert this to the non fraction form of percentage we do this:

$\frac{667}{1000} \times 100 = 66.7 %$ $667/1000 xx100 = 66.7%$

Expressed as a percent fraction this is $\frac{66.7}{100}$ $(66.7)/100$

But we do not like decimal values as a numerator so we are back to

$\frac{66.7 \times 10}{100 \times 10} = \frac{667}{1000}$ $(66.7xx10)/(100xx10)=667/1000$