Solve -3*(-1/3)-2*(-1/3)+1

$$- 3 \cdot ( - \frac { 1 } { 3 } ) - 2 \cdot ( - \frac { 1 } { 3 } ) + 1$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply -3 times -\frac{1}{3}.

$$1-2\left(-\frac{1}{3}\right)+1$$

Express 2\left(-\frac{1}{3}\right) as a single fraction.

$$1-\frac{2\left(-1\right)}{3}+1$$

Multiply 2 and -1 to get -2.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$1-\left(-\frac{2}{3}\right)+1$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

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

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Add 5 and 3 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$