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

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

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

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

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

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

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

Subtract 1 from -10 to get -11.

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

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

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

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

$$-3\left(\frac{11}{20}-\frac{3}{5}\right)$$

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

$$-3\left(\frac{11}{20}-\frac{12}{20}\right)$$

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

$$-3\times \frac{11-12}{20}$$

Subtract 12 from 11 to get -1.

$$-3\left(-\frac{1}{20}\right)$$

Express -3\left(-\frac{1}{20}\right) as a single fraction.

$$\frac{-3\left(-1\right)}{20}$$

Multiply -3 and -1 to get 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$