How do you convert 0.8% to a fraction?

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Mar 9, 2018

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See a solution process below:

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"Percent" or "%" means "out of 100" or "per 100",

Therefore 0.8% can be written as #0.8/100#.

We can now multiply by a form of #1# to eliminate the decimal in the numerator:

#10/10 xx 0.8/100 => (10 xx 0.8)(10 xx 100) => 8/1000#

We can reduce the fraction as:

#(8 xx 1)/(8 xx 125) => (color(red)(8) xx 1)/(color(red)(8) xx 125) => 1/125#

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