Solve [-3^2*(-1/3)^2-0.8]+(-52/5)

$$[ - 3 ^ { 2 } \times ( - \frac { 1 } { 3 } ) ^ { 2 } - 0.8 ] + ( - 5 \frac { 2 } { 5 } )$$

Evaluate

$$-7.2$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-9\left(-\frac{1}{3}\right)^{2}-0.8-\frac{5\times 5+2}{5}$$

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

$$-9\times \frac{1}{9}-0.8-\frac{5\times 5+2}{5}$$

Multiply -9 times \frac{1}{9}.

$$-1-0.8-\frac{5\times 5+2}{5}$$

Subtract 0.8 from -1 to get -1.8.

$$-1.8-\frac{5\times 5+2}{5}$$

Multiply 5 and 5 to get 25.

$$-1.8-\frac{25+2}{5}$$

Add 25 and 2 to get 27.

$$-1.8-\frac{27}{5}$$

Convert decimal number -1.8 to fraction -\frac{18}{10}. Reduce the fraction -\frac{18}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{5}-\frac{27}{5}$$

Since -\frac{9}{5} and \frac{27}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-27}{5}$$

Subtract 27 from -9 to get -36.

$$-\frac{36}{5}$$

Factor

$$-7.2$$