Solve 36*1/3*1/9div2/3div11/2

$$36 \times \frac { 1 } { 3 } \times \frac { 1 } { 9 } \div \frac { 2 } { 3 } \div 1 \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Divide \frac{36\times \frac{1}{3}\times \frac{1}{9}}{\frac{2}{3}} by \frac{1\times 2+1}{2} by multiplying \frac{36\times \frac{1}{3}\times \frac{1}{9}}{\frac{2}{3}} by the reciprocal of \frac{1\times 2+1}{2}.

$$\frac{36\times \frac{1}{3}\times \frac{1}{9}\times 2}{\frac{2}{3}\left(1\times 2+1\right)}$$

Multiply 36 and \frac{1}{3} to get \frac{36}{3}.

$$\frac{\frac{36}{3}\times \frac{1}{9}\times 2}{\frac{2}{3}\left(1\times 2+1\right)}$$

Divide 36 by 3 to get 12.

$$\frac{12\times \frac{1}{9}\times 2}{\frac{2}{3}\left(1\times 2+1\right)}$$

Multiply 12 and \frac{1}{9} to get \frac{12}{9}.

$$\frac{\frac{12}{9}\times 2}{\frac{2}{3}\left(1\times 2+1\right)}$$

Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{4}{3}\times 2}{\frac{2}{3}\left(1\times 2+1\right)}$$

Express \frac{4}{3}\times 2 as a single fraction.

$$\frac{\frac{4\times 2}{3}}{\frac{2}{3}\left(1\times 2+1\right)}$$

Multiply 4 and 2 to get 8.

$$\frac{\frac{8}{3}}{\frac{2}{3}\left(1\times 2+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{\frac{8}{3}}{\frac{2}{3}\left(2+1\right)}$$

Add 2 and 1 to get 3.

$$\frac{\frac{8}{3}}{\frac{2}{3}\times 3}$$

Cancel out 3 and 3.

$$\frac{\frac{8}{3}}{2}$$

Express \frac{\frac{8}{3}}{2} as a single fraction.

$$\frac{8}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Factor

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