Solve 0.05*0.75/1-0.2%

$$\frac { 0.05 \times 0.75 } { 1 - 0.2 \% }$$

Evaluate

$$\frac{75}{1996}\approx 0.03757515$$

Solution Steps

Multiply 0.05 and 0.75 to get 0.0375.

$$\frac{0.0375}{1-\frac{0.2}{100}}$$

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$\frac{0.0375}{1-\frac{2}{1000}}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{0.0375}{1-\frac{1}{500}}$$

Convert 1 to fraction \frac{500}{500}.

$$\frac{0.0375}{\frac{500}{500}-\frac{1}{500}}$$

Since \frac{500}{500} and \frac{1}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{0.0375}{\frac{500-1}{500}}$$

Subtract 1 from 500 to get 499.

$$\frac{0.0375}{\frac{499}{500}}$$

Divide 0.0375 by \frac{499}{500} by multiplying 0.0375 by the reciprocal of \frac{499}{500}.

$$0.0375\times \frac{500}{499}$$

Convert decimal number 0.0375 to fraction \frac{375}{10000}. Reduce the fraction \frac{375}{10000} to lowest terms by extracting and canceling out 125.

$$\frac{3}{80}\times \frac{500}{499}$$

Multiply \frac{3}{80} times \frac{500}{499} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 500}{80\times 499}$$

Do the multiplications in the fraction \frac{3\times 500}{80\times 499}.

$$\frac{1500}{39920}$$

Reduce the fraction \frac{1500}{39920} to lowest terms by extracting and canceling out 20.

$$\frac{75}{1996}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{499 \cdot 2 ^ {2}} = 0.037575150300601205$$