Solve 100-((3.35*1000/3.33*1000)*100)

$$100-(( \frac{ 3.35 \times 1000 }{ 3.33 \times 1000 } ) \times 100)$$

Evaluate

$$-\frac{200}{333}\approx -0.600600601$$

Solution Steps

Cancel out 1000 in both numerator and denominator.

$$100-\frac{3.35}{3.33}\times 100$$

Expand \frac{3.35}{3.33} by multiplying both numerator and the denominator by 100.

$$100-\frac{335}{333}\times 100$$

Express \frac{335}{333}\times 100 as a single fraction.

$$100-\frac{335\times 100}{333}$$

Multiply 335 and 100 to get 33500.

$$100-\frac{33500}{333}$$

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

$$\frac{33300}{333}-\frac{33500}{333}$$

Since \frac{33300}{333} and \frac{33500}{333} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33300-33500}{333}$$

Subtract 33500 from 33300 to get -200.

$$-\frac{200}{333}$$

Factor

$$-\frac{200}{333} = -0.6006006006006006$$