Solve 3/27-3^2-4/3

$$\frac { 3 } { 27 } - 3 ^ { 2 } - \frac { 4 } { 3 }$$

Evaluate

$$-\frac{92}{9}\approx -10.222222222$$

Solution Steps

Reduce the fraction \frac{3}{27} to lowest terms by extracting and canceling out 3.

$$\frac{1}{9}-3^{2}-\frac{4}{3}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{1}{9}-9-\frac{4}{3}$$

Convert 9 to fraction \frac{81}{9}.

$$\frac{1}{9}-\frac{81}{9}-\frac{4}{3}$$

Since \frac{1}{9} and \frac{81}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-81}{9}-\frac{4}{3}$$

Subtract 81 from 1 to get -80.

$$-\frac{80}{9}-\frac{4}{3}$$

Least common multiple of 9 and 3 is 9. Convert -\frac{80}{9} and \frac{4}{3} to fractions with denominator 9.

$$-\frac{80}{9}-\frac{12}{9}$$

Since -\frac{80}{9} and \frac{12}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-80-12}{9}$$

Subtract 12 from -80 to get -92.

$$-\frac{92}{9}$$

Factor

$$-\frac{92}{9} = -10\frac{2}{9} = -10.222222222222221$$