Solve 9/2+27/3-1/2-1/3

$$\frac { 9 } { 2 } + \frac { 27 } { 3 } - \frac { 1 } { 2 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{38}{3}\approx 12.666666667$$

Solution Steps

Divide 27 by 3 to get 9.

$$\frac{9}{2}+9-\frac{1}{2}-\frac{1}{3}$$

Convert 9 to fraction \frac{18}{2}.

$$\frac{9}{2}+\frac{18}{2}-\frac{1}{2}-\frac{1}{3}$$

Since \frac{9}{2} and \frac{18}{2} have the same denominator, add them by adding their numerators.

$$\frac{9+18}{2}-\frac{1}{2}-\frac{1}{3}$$

Add 9 and 18 to get 27.

$$\frac{27}{2}-\frac{1}{2}-\frac{1}{3}$$

Since \frac{27}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-1}{2}-\frac{1}{3}$$

Subtract 1 from 27 to get 26.

$$\frac{26}{2}-\frac{1}{3}$$

Divide 26 by 2 to get 13.

$$13-\frac{1}{3}$$

Convert 13 to fraction \frac{39}{3}.

$$\frac{39}{3}-\frac{1}{3}$$

Since \frac{39}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-1}{3}$$

Subtract 1 from 39 to get 38.

$$\frac{38}{3}$$

Factor

$$\frac{2 \cdot 19}{3} = 12\frac{2}{3} = 12.666666666666666$$