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

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

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

Calculate -\frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{1}{9}-\left(\frac{-1}{3}-3\right)-3$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$\frac{1}{9}-\left(-\frac{1}{3}-3\right)-3$$

Subtract 3 from -\frac{1}{3} to get -\frac{10}{3}.

$$\frac{1}{9}-\left(-\frac{10}{3}\right)-3$$

The opposite of -\frac{10}{3} is \frac{10}{3}.

$$\frac{1}{9}+\frac{10}{3}-3$$

Add \frac{1}{9} and \frac{10}{3} to get \frac{31}{9}.

$$\frac{31}{9}-3$$

Subtract 3 from \frac{31}{9} to get \frac{4}{9}.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$