Question

How do you convert 0.667 into a percent and fraction?

Answer 1

`66.7%`

`667/1000`

Explanation:

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 "1/10+1/100+1/1000`

So for the decimal given we have:

`6/10+6/100+7/1000`

This can be written as: `667/1000`
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To convert this to the non fraction form of percentage we do this:

`667/1000 xx100 = 66.7%`

Expressed as a percent fraction this is `(66.7)/100`

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

`(66.7xx10)/(100xx10)=667/1000`