Solve 4/3-(1/3)/[3(frac{1{2})}

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

Evaluate

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

Solution Steps

Since \frac{4}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-1}{3}}{3\times \frac{1}{2}}$$

Subtract 1 from 4 to get 3.

$$\frac{\frac{3}{3}}{3\times \frac{1}{2}}$$

Divide 3 by 3 to get 1.

$$\frac{1}{3\times \frac{1}{2}}$$

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

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

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

$$1\times \frac{2}{3}$$

Multiply 1 and \frac{2}{3} to get \frac{2}{3}.

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

Factor

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