Solve 11/9div54*12

$$1 \frac { 1 } { 9 } \div 54 \times 12$$

Evaluate

$$\frac{20}{81}\approx 0.24691358$$

Solution Steps

Express \frac{\frac{1\times 9+1}{9}}{54} as a single fraction.

$$\frac{1\times 9+1}{9\times 54}\times 12$$

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9\times 54}\times 12$$

Add 9 and 1 to get 10.

$$\frac{10}{9\times 54}\times 12$$

Multiply 9 and 54 to get 486.

$$\frac{10}{486}\times 12$$

Reduce the fraction \frac{10}{486} to lowest terms by extracting and canceling out 2.

$$\frac{5}{243}\times 12$$

Express \frac{5}{243}\times 12 as a single fraction.

$$\frac{5\times 12}{243}$$

Multiply 5 and 12 to get 60.

$$\frac{60}{243}$$

Reduce the fraction \frac{60}{243} to lowest terms by extracting and canceling out 3.

$$\frac{20}{81}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {4}} = 0.24691358024691357$$