Solve 11/9*3-2

$$\frac{ 11 }{ 9 } \times 3-2$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Express \frac{11}{9}\times 3 as a single fraction.

$$\frac{11\times 3}{9}-2$$

Multiply 11 and 3 to get 33.

$$\frac{33}{9}-2$$

Reduce the fraction \frac{33}{9} to lowest terms by extracting and canceling out 3.

$$\frac{11}{3}-2$$

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

$$\frac{11}{3}-\frac{6}{3}$$

Since \frac{11}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-6}{3}$$

Subtract 6 from 11 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$