Solve -2/3^2+5-2

$$\frac { - 2 } { 3 ^ { 2 } } + 5 - 2$$

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{-2}{9}+5-2$$

Fraction \frac{-2}{9} can be rewritten as -\frac{2}{9} by extracting the negative sign.

$$-\frac{2}{9}+5-2$$

Convert 5 to fraction \frac{45}{9}.

$$-\frac{2}{9}+\frac{45}{9}-2$$

Since -\frac{2}{9} and \frac{45}{9} have the same denominator, add them by adding their numerators.

$$\frac{-2+45}{9}-2$$

Add -2 and 45 to get 43.

$$\frac{43}{9}-2$$

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

$$\frac{43}{9}-\frac{18}{9}$$

Since \frac{43}{9} and \frac{18}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-18}{9}$$

Subtract 18 from 43 to get 25.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$