Solve {[-2-1/5)*(-1/4]+(-3/5)}

$$\{ [ - 2 - \frac { 1 } { 5 } ) \cdot ( - \frac { 1 } { 4 } ] + ( - \frac { 3 } { 5 } ) \}$$

Evaluate

$$-\frac{1}{20}=-0.05$$

Solution Steps

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

$$\left(-\frac{10}{5}-\frac{1}{5}\right)\left(-\frac{1}{4}\right)-\frac{3}{5}$$

Since -\frac{10}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-1}{5}\left(-\frac{1}{4}\right)-\frac{3}{5}$$

Subtract 1 from -10 to get -11.

$$-\frac{11}{5}\left(-\frac{1}{4}\right)-\frac{3}{5}$$

Multiply -\frac{11}{5} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\left(-1\right)}{5\times 4}-\frac{3}{5}$$

Do the multiplications in the fraction \frac{-11\left(-1\right)}{5\times 4}.

$$\frac{11}{20}-\frac{3}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{11}{20} and \frac{3}{5} to fractions with denominator 20.

$$\frac{11}{20}-\frac{12}{20}$$

Since \frac{11}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-12}{20}$$

Subtract 12 from 11 to get -1.

$$-\frac{1}{20}$$

Factor

$$-\frac{1}{20} = -0.05$$