Solve 2*2/3/frac{2{3}+2}=

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$\frac{\frac{4}{3}}{\frac{2}{3}+2}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{\frac{4}{3}}{\frac{2}{3}+\frac{6}{3}}$$

Since \frac{2}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4}{3}}{\frac{2+6}{3}}$$

Add 2 and 6 to get 8.

$$\frac{\frac{4}{3}}{\frac{8}{3}}$$

Divide \frac{4}{3} by \frac{8}{3} by multiplying \frac{4}{3} by the reciprocal of \frac{8}{3}.

$$\frac{4}{3}\times \frac{3}{8}$$

Multiply \frac{4}{3} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{3\times 8}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$