Solve frac{frac{2sqrt{2}}{3}}{frac{sqrt{2}}{2}}

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

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

Cancel out \sqrt{2} in both numerator and denominator.

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

Multiply 2 and 2 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$