Solve 8/3-(7/3-4/3)+12/3=

$$\frac { 8 } { 3 } - ( \frac { 7 } { 3 } - \frac { 4 } { 3 } ) + \frac { 12 } { 3 } =$$

Evaluate

$$\frac{17}{3}\approx 5.666666667$$

Solution Steps

Since \frac{7}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8}{3}-\frac{7-4}{3}+\frac{12}{3}$$

Subtract 4 from 7 to get 3.

$$\frac{8}{3}-\frac{3}{3}+\frac{12}{3}$$

Since \frac{8}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{3}+\frac{12}{3}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{3}+\frac{12}{3}$$

Since \frac{5}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{3}$$

Add 5 and 12 to get 17.

$$\frac{17}{3}$$

Factor

$$\frac{17}{3} = 5\frac{2}{3} = 5.666666666666667$$