Solve 3-1/9*11/2+5/6

$$3 - \frac { 1 } { 9 } \times 1 \frac { 1 } { 2 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 1 and 2 to get 2.

$$3-\frac{1}{9}\times \frac{2+1}{2}+\frac{5}{6}$$

Add 2 and 1 to get 3.

$$3-\frac{1}{9}\times \frac{3}{2}+\frac{5}{6}$$

Multiply \frac{1}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$3-\frac{1\times 3}{9\times 2}+\frac{5}{6}$$

Do the multiplications in the fraction \frac{1\times 3}{9\times 2}.

$$3-\frac{3}{18}+\frac{5}{6}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$3-\frac{1}{6}+\frac{5}{6}$$

Convert 3 to fraction \frac{18}{6}.

$$\frac{18}{6}-\frac{1}{6}+\frac{5}{6}$$

Since \frac{18}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-1}{6}+\frac{5}{6}$$

Subtract 1 from 18 to get 17.

$$\frac{17}{6}+\frac{5}{6}$$

Since \frac{17}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+5}{6}$$

Add 17 and 5 to get 22.

$$\frac{22}{6}$$

Reduce the fraction \frac{22}{6} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$