Solve frac{2/3sqrt{3}}{1-1/3}

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

Evaluate

$$\sqrt{3}\approx 1.732050808$$

Solution Steps

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

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

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

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

Subtract 1 from 3 to get 2.

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

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

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

Cancel out 3 and 3.

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

Cancel out 2 and 2.

$$\sqrt{3}$$