Solve 2-(2/3-3)=

$$2 - ( \frac { 2 } { 3 } - 3 ) =$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Convert 3 to fraction \frac{9}{3}.

$$2-\left(\frac{2}{3}-\frac{9}{3}\right)$$

Since \frac{2}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 9 from 2 to get -7.

$$2-\left(-\frac{7}{3}\right)$$

The opposite of -\frac{7}{3} is \frac{7}{3}.

$$2+\frac{7}{3}$$

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

$$\frac{6}{3}+\frac{7}{3}$$

Since \frac{6}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{3}$$

Add 6 and 7 to get 13.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$