Solve (-4-1^2):(-25)+(-10+6):(-2)-2^2

$$( - 4 - 1 ^ { 2 } ) : ( - 25 ) + ( - 10 + 6 ) : ( - 2 ) - 2 ^ { 2 }$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$\frac{-4-1}{-25}+\frac{-10+6}{-2}-2^{2}$$

Subtract 1 from -4 to get -5.

$$\frac{-5}{-25}+\frac{-10+6}{-2}-2^{2}$$

Reduce the fraction \frac{-5}{-25} to lowest terms by extracting and canceling out -5.

$$\frac{1}{5}+\frac{-10+6}{-2}-2^{2}$$

Add -10 and 6 to get -4.

$$\frac{1}{5}+\frac{-4}{-2}-2^{2}$$

Divide -4 by -2 to get 2.

$$\frac{1}{5}+2-2^{2}$$

Convert 2 to fraction \frac{10}{5}.

$$\frac{1}{5}+\frac{10}{5}-2^{2}$$

Since \frac{1}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+10}{5}-2^{2}$$

Add 1 and 10 to get 11.

$$\frac{11}{5}-2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{11}{5}-4$$

Convert 4 to fraction \frac{20}{5}.

$$\frac{11}{5}-\frac{20}{5}$$

Since \frac{11}{5} and \frac{20}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-20}{5}$$

Subtract 20 from 11 to get -9.

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

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$