Solve 2/frac{2{3}}-2/3/2

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

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

Cancel out 2 and 2.

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

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

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

Cancel out 2 in both numerator and denominator.

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

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

$$\frac{9}{3}-\frac{1}{3}$$

Since \frac{9}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-1}{3}$$

Subtract 1 from 9 to get 8.

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

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$