Solve ([1/2*4/2]-1/3)div(3+[2/3divfrac{1}{3}])

$$( [ \frac { 1 } { 2 } * \frac { 4 } { 2 } ] - \frac { 1 } { 3 } ) \div ( 3 + [ \frac { 2 } { 3 } \div \frac { 1 } { 3 } ] )$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Divide 4 by 2 to get 2.

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

Cancel out 2 and 2.

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

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

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

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

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

Subtract 1 from 3 to get 2.

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

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

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

Cancel out 3 and 3.

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

Add 3 and 2 to get 5.

$$\frac{\frac{2}{3}}{5}$$

Express \frac{\frac{2}{3}}{5} as a single fraction.

$$\frac{2}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$