Solve {(((4-1/3)-1):(2-(1/3)))}

$$\{ ( ( ( 4 - \frac { 1 } { 3 } ) - 1 ) : ( 2 - ( \frac { 1 } { 3 } ) ) ) \}$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{\frac{12}{3}-\frac{1}{3}-1}{2-\frac{1}{3}}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{12-1}{3}-1}{2-\frac{1}{3}}$$

Subtract 1 from 12 to get 11.

$$\frac{\frac{11}{3}-1}{2-\frac{1}{3}}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{\frac{11}{3}-\frac{3}{3}}{2-\frac{1}{3}}$$

Since \frac{11}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{11-3}{3}}{2-\frac{1}{3}}$$

Subtract 3 from 11 to get 8.

$$\frac{\frac{8}{3}}{2-\frac{1}{3}}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{\frac{8}{3}}{\frac{6}{3}-\frac{1}{3}}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8}{3}}{\frac{6-1}{3}}$$

Subtract 1 from 6 to get 5.

$$\frac{\frac{8}{3}}{\frac{5}{3}}$$

Divide \frac{8}{3} by \frac{5}{3} by multiplying \frac{8}{3} by the reciprocal of \frac{5}{3}.

$$\frac{8}{3}\times \frac{3}{5}$$

Multiply \frac{8}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{3\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$