Compute: 0.058% of 925 Round your final answer properly to four decimal places when applicable. ____________ 

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need first convert the percentage into the fraction whose denominator is 100, such that:

`0.058% = 0.058/100`

You need to express `0.058` as a fraction, such that:

`0.058 = 0.058*1000/1000`

You need to multiply the numerator by 1000 because there exists there were 3 digits after the decimal point. Then, you need to divide the result by 1000, to preserve its original value.

`0.058 = 58/1000`

Replacing `58/1000` for `0.058` yields:

`0.058% = (58/1000)/100 => 0.058% = 58/100000`

You need to evaluate `0.058%` of `925` , such that:

`0.058% of 925 = 58/100000*925`

You need to reduce the duplicate factors 25, such that:

`0.058% of 925 = (58/4000)*37`

You need to divide by 2, such that:

`0.058% of 925 = (29*37)/2000`

`0.058% of 925 = 0.5365`

Hence, evaluating the given percentage, yields `0.058%` of `925 = 0.5365.`

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