Solve -3^2+1/31/3/frac{1{3}}

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

Evaluate

$$-\frac{26}{3}\approx -8.666666667$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

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

Cancel out \frac{1}{3} and \frac{1}{3}.

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

Convert -9 to fraction -\frac{27}{3}.

$$-\frac{27}{3}+\frac{1}{3}$$

Since -\frac{27}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{-27+1}{3}$$

Add -27 and 1 to get -26.

$$-\frac{26}{3}$$

Factor

$$-\frac{26}{3} = -8\frac{2}{3} = -8.666666666666666$$