Solve frac{frac{3sqrt{3}}{5}}{2-8/5}

$$\frac { \frac { 3 \sqrt { 3 } } { 5 } } { 2 - \frac { 8 } { 5 } }$$

Evaluate

$$\frac{3\sqrt{3}}{2}\approx 2.598076211$$

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{\frac{3\sqrt{3}}{5}}{\frac{10}{5}-\frac{8}{5}}$$

Since \frac{10}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3\sqrt{3}}{5}}{\frac{10-8}{5}}$$

Subtract 8 from 10 to get 2.

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

Divide \frac{3\sqrt{3}}{5} by \frac{2}{5} by multiplying \frac{3\sqrt{3}}{5} by the reciprocal of \frac{2}{5}.

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

Cancel out 5 in both numerator and denominator.

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