Solve 32/3-(-4)/-5

$$\frac { \frac { 32 } { 3 } - ( - 4 ) } { - 5 }$$

Evaluate

$$-\frac{44}{15}\approx -2.933333333$$

Solution Steps

The opposite of -4 is 4.

$$\frac{\frac{32}{3}+4}{-5}$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{\frac{32}{3}+\frac{12}{3}}{-5}$$

Since \frac{32}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{32+12}{3}}{-5}$$

Add 32 and 12 to get 44.

$$\frac{\frac{44}{3}}{-5}$$

Express \frac{\frac{44}{3}}{-5} as a single fraction.

$$\frac{44}{3\left(-5\right)}$$

Multiply 3 and -5 to get -15.

$$\frac{44}{-15}$$

Fraction \frac{44}{-15} can be rewritten as -\frac{44}{15} by extracting the negative sign.

$$-\frac{44}{15}$$

Factor

$$-\frac{44}{15} = -2\frac{14}{15} = -2.933333333333333$$