Solve 100-((478/3.33*1000)*100)

$$100-(( \frac{ 478 }{ 3.33 \times 1000 } ) \times 100)$$

Evaluate

$$\frac{28520}{333}\approx 85.645645646$$

Solution Steps

Multiply 3.33 and 1000 to get 3330.

$$100-\frac{478}{3330}\times 100$$

Reduce the fraction \frac{478}{3330} to lowest terms by extracting and canceling out 2.

$$100-\frac{239}{1665}\times 100$$

Express \frac{239}{1665}\times 100 as a single fraction.

$$100-\frac{239\times 100}{1665}$$

Multiply 239 and 100 to get 23900.

$$100-\frac{23900}{1665}$$

Reduce the fraction \frac{23900}{1665} to lowest terms by extracting and canceling out 5.

$$100-\frac{4780}{333}$$

Convert 100 to fraction \frac{33300}{333}.

$$\frac{33300}{333}-\frac{4780}{333}$$

Since \frac{33300}{333} and \frac{4780}{333} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33300-4780}{333}$$

Subtract 4780 from 33300 to get 28520.

$$\frac{28520}{333}$$

Factor

$$\frac{5 \cdot 23 \cdot 31 \cdot 2 ^ {3}}{37 \cdot 3 ^ {2}} = 85\frac{215}{333} = 85.64564564564564$$