Solve 1/3-1/{left(frac{1{3}right)}^2}

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

Evaluate

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

Solution Steps

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

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

Divide 1 by \frac{1}{9} by multiplying 1 by the reciprocal of \frac{1}{9}.

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

Multiply 1 and 9 to get 9.

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

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

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

Since \frac{1}{3} and \frac{27}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 27 from 1 to get -26.

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

Factor

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