Solve (4/3+2)div(6*(3*2/3)*1/4*2)

$$( \frac { 4 } { 3 } + 2 ) \div ( 6 \cdot ( 3 \cdot \frac { 2 } { 3 } ) \cdot \frac { 1 } { 4 } \cdot 2 )$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

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

$$\frac{\frac{4}{3}+\frac{6}{3}}{6\times 3\times \frac{2}{3}\times \frac{1}{4}\times 2}$$

Since \frac{4}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+6}{3}}{6\times 3\times \frac{2}{3}\times \frac{1}{4}\times 2}$$

Add 4 and 6 to get 10.

$$\frac{\frac{10}{3}}{6\times 3\times \frac{2}{3}\times \frac{1}{4}\times 2}$$

Multiply 6 and 3 to get 18.

$$\frac{\frac{10}{3}}{18\times \frac{2}{3}\times \frac{1}{4}\times 2}$$

Express 18\times \frac{2}{3} as a single fraction.

$$\frac{\frac{10}{3}}{\frac{18\times 2}{3}\times \frac{1}{4}\times 2}$$

Multiply 18 and 2 to get 36.

$$\frac{\frac{10}{3}}{\frac{36}{3}\times \frac{1}{4}\times 2}$$

Divide 36 by 3 to get 12.

$$\frac{\frac{10}{3}}{12\times \frac{1}{4}\times 2}$$

Multiply 12 and \frac{1}{4} to get \frac{12}{4}.

$$\frac{\frac{10}{3}}{\frac{12}{4}\times 2}$$

Divide 12 by 4 to get 3.

$$\frac{\frac{10}{3}}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{\frac{10}{3}}{6}$$

Express \frac{\frac{10}{3}}{6} as a single fraction.

$$\frac{10}{3\times 6}$$

Multiply 3 and 6 to get 18.

$$\frac{10}{18}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$