Solve 1/3*[-1(5/1-(-3/5))*5/5]

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

Evaluate

$$-\frac{28}{15}\approx -1.866666667$$

Solution Steps

Divide 5 by 5 to get 1.

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

Multiply \frac{1}{3} and -1 to get -\frac{1}{3}.

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

Anything divided by one gives itself.

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

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

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

The opposite of -\frac{3}{5} is \frac{3}{5}.

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

Convert 5 to fraction \frac{25}{5}.

$$-\frac{1}{3}\left(\frac{25}{5}+\frac{3}{5}\right)$$

Since \frac{25}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$-\frac{1}{3}\times \frac{25+3}{5}$$

Add 25 and 3 to get 28.

$$-\frac{1}{3}\times \frac{28}{5}$$

Multiply -\frac{1}{3} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-28}{3\times 5}\times 1$$

Do the multiplications in the fraction \frac{-28}{3\times 5}.

$$\frac{-28}{15}\times 1$$

Fraction \frac{-28}{15} can be rewritten as -\frac{28}{15} by extracting the negative sign.

$$-\frac{28}{15}$$

Factor

$$-\frac{28}{15} = -1\frac{13}{15} = -1.8666666666666667$$