Solve 1/2div4/9div131/2

$$\frac { 1 } { 2 } \div \frac { 4 } { 9 } \div 13 \frac { 1 } { 2 }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Divide \frac{\frac{1}{2}}{\frac{4}{9}} by \frac{13\times 2+1}{2} by multiplying \frac{\frac{1}{2}}{\frac{4}{9}} by the reciprocal of \frac{13\times 2+1}{2}.

$$\frac{\frac{1}{2}\times 2}{\frac{4}{9}\left(13\times 2+1\right)}$$

Cancel out 2 and 2.

$$\frac{1}{\frac{4}{9}\left(13\times 2+1\right)}$$

Multiply 13 and 2 to get 26.

$$\frac{1}{\frac{4}{9}\left(26+1\right)}$$

Add 26 and 1 to get 27.

$$\frac{1}{\frac{4}{9}\times 27}$$

Express \frac{4}{9}\times 27 as a single fraction.

$$\frac{1}{\frac{4\times 27}{9}}$$

Multiply 4 and 27 to get 108.

$$\frac{1}{\frac{108}{9}}$$

Divide 108 by 9 to get 12.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$