Solve -2/3(3-1/5)

$$- \frac { 2 } { 3 } ( 3 - \frac { 1 } { 5 } )$$

Evaluate

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

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$-\frac{2}{3}\left(\frac{15}{5}-\frac{1}{5}\right)$$

Since \frac{15}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{3}\times \frac{15-1}{5}$$

Subtract 1 from 15 to get 14.

$$-\frac{2}{3}\times \frac{14}{5}$$

Multiply -\frac{2}{3} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 14}{3\times 5}$$

Do the multiplications in the fraction \frac{-2\times 14}{3\times 5}.

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

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

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

Factor

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