Solve 8/3*(-3/4)+(-2/3)

$$\frac { 8 } { 3 } \times ( - \frac { 3 } { 4 } ) + ( - \frac { 2 } { 3 } )$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Multiply \frac{8}{3} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-3\right)}{3\times 4}-\frac{2}{3}$$

Do the multiplications in the fraction \frac{8\left(-3\right)}{3\times 4}.

$$\frac{-24}{12}-\frac{2}{3}$$

Divide -24 by 12 to get -2.

$$-2-\frac{2}{3}$$

Convert -2 to fraction -\frac{6}{3}.

$$-\frac{6}{3}-\frac{2}{3}$$

Since -\frac{6}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-2}{3}$$

Subtract 2 from -6 to get -8.

$$-\frac{8}{3}$$

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$