Solve (3-2/3)(1-5/7)

$$( 3 - \frac { 2 } { 3 } ) ( 1 - \frac { 5 } { 7 } )$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Convert 3 to fraction \frac{9}{3}.

$$\left(\frac{9}{3}-\frac{2}{3}\right)\left(1-\frac{5}{7}\right)$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{3}\left(1-\frac{5}{7}\right)$$

Subtract 2 from 9 to get 7.

$$\frac{7}{3}\left(1-\frac{5}{7}\right)$$

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

$$\frac{7}{3}\left(\frac{7}{7}-\frac{5}{7}\right)$$

Since \frac{7}{7} and \frac{5}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{3}\times \frac{7-5}{7}$$

Subtract 5 from 7 to get 2.

$$\frac{7}{3}\times \frac{2}{7}$$

Multiply \frac{7}{3} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{3\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$