Solve (1-3/10)*(1-2/7)

$$( 1 - \frac { 3 } { 10 } ) \times ( 1 - \frac { 2 } { 7 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

$$\left(\frac{10}{10}-\frac{3}{10}\right)\left(1-\frac{2}{7}\right)$$

Since \frac{10}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-3}{10}\left(1-\frac{2}{7}\right)$$

Subtract 3 from 10 to get 7.

$$\frac{7}{10}\left(1-\frac{2}{7}\right)$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{7}{10}\left(\frac{7}{7}-\frac{2}{7}\right)$$

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{10}\times \frac{7-2}{7}$$

Subtract 2 from 7 to get 5.

$$\frac{7}{10}\times \frac{5}{7}$$

Multiply \frac{7}{10} times \frac{5}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{10\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$