Solve (1-10%)(1+2%)

$$( 1 - 10 \% ) ( 1 + 2 \% )$$

Evaluate

$$\frac{459}{500}=0.918$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\left(1-\frac{1}{10}\right)\left(1+\frac{2}{100}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$\left(\frac{10}{10}-\frac{1}{10}\right)\left(1+\frac{2}{100}\right)$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{10}\left(1+\frac{2}{100}\right)$$

Subtract 1 from 10 to get 9.

$$\frac{9}{10}\left(1+\frac{2}{100}\right)$$

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

$$\frac{9}{10}\left(1+\frac{1}{50}\right)$$

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

$$\frac{9}{10}\left(\frac{50}{50}+\frac{1}{50}\right)$$

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

$$\frac{9}{10}\times \frac{50+1}{50}$$

Add 50 and 1 to get 51.

$$\frac{9}{10}\times \frac{51}{50}$$

Multiply \frac{9}{10} times \frac{51}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 51}{10\times 50}$$

Do the multiplications in the fraction \frac{9\times 51}{10\times 50}.

$$\frac{459}{500}$$

Factor

$$\frac{3 ^ {3} \cdot 17}{2 ^ {2} \cdot 5 ^ {3}} = 0.918$$