Solve 2%-6%/2%(1-2%)

$$\frac{ 2 \% -6 \% }{ 2 \% (1-2 \% ) }$$

Evaluate

$$-\frac{100}{49}\approx -2.040816327$$

Solution Steps

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{50}-\frac{6}{100}}{\frac{2}{100}\left(1-\frac{2}{100}\right)}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{50}-\frac{3}{50}}{\frac{2}{100}\left(1-\frac{2}{100}\right)}$$

Since \frac{1}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1-3}{50}}{\frac{2}{100}\left(1-\frac{2}{100}\right)}$$

Subtract 3 from 1 to get -2.

$$\frac{\frac{-2}{50}}{\frac{2}{100}\left(1-\frac{2}{100}\right)}$$

Reduce the fraction \frac{-2}{50} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{25}}{\frac{2}{100}\left(1-\frac{2}{100}\right)}$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{25}}{\frac{1}{50}\left(1-\frac{2}{100}\right)}$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{1}{25}}{\frac{1}{50}\left(1-\frac{1}{50}\right)}$$

Convert 1 to fraction \frac{50}{50}.

$$\frac{-\frac{1}{25}}{\frac{1}{50}\left(\frac{50}{50}-\frac{1}{50}\right)}$$

Since \frac{50}{50} and \frac{1}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{1}{25}}{\frac{1}{50}\times \frac{50-1}{50}}$$

Subtract 1 from 50 to get 49.

$$\frac{-\frac{1}{25}}{\frac{1}{50}\times \frac{49}{50}}$$

Multiply \frac{1}{50} times \frac{49}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{1}{25}}{\frac{1\times 49}{50\times 50}}$$

Do the multiplications in the fraction \frac{1\times 49}{50\times 50}.

$$\frac{-\frac{1}{25}}{\frac{49}{2500}}$$

Divide -\frac{1}{25} by \frac{49}{2500} by multiplying -\frac{1}{25} by the reciprocal of \frac{49}{2500}.

$$-\frac{1}{25}\times \frac{2500}{49}$$

Multiply -\frac{1}{25} times \frac{2500}{49} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2500}{25\times 49}$$

Do the multiplications in the fraction \frac{-2500}{25\times 49}.

$$\frac{-2500}{1225}$$

Reduce the fraction \frac{-2500}{1225} to lowest terms by extracting and canceling out 25.

$$-\frac{100}{49}$$

Factor

$$-\frac{100}{49} = -2\frac{2}{49} = -2.0408163265306123$$