Solve 11/9div5.4*12

$$1 \frac { 1 } { 9 } \div 5.4 \times 12$$

Evaluate

$$\frac{200}{81}\approx 2.469135802$$

Solution Steps

Express \frac{\frac{1\times 9+1}{9}}{5.4} as a single fraction.

$$\frac{1\times 9+1}{9\times 5.4}\times 12$$

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9\times 5.4}\times 12$$

Add 9 and 1 to get 10.

$$\frac{10}{9\times 5.4}\times 12$$

Multiply 9 and 5.4 to get 48.6.

$$\frac{10}{48.6}\times 12$$

Expand \frac{10}{48.6} by multiplying both numerator and the denominator by 10.

$$\frac{100}{486}\times 12$$

Reduce the fraction \frac{100}{486} to lowest terms by extracting and canceling out 2.

$$\frac{50}{243}\times 12$$

Express \frac{50}{243}\times 12 as a single fraction.

$$\frac{50\times 12}{243}$$

Multiply 50 and 12 to get 600.

$$\frac{600}{243}$$

Reduce the fraction \frac{600}{243} to lowest terms by extracting and canceling out 3.

$$\frac{200}{81}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{3 ^ {4}} = 2\frac{38}{81} = 2.4691358024691357$$