Solve 8/5{-frac{2/3}}

$$\frac{ 8 }{ \frac{ 5 }{ - \frac{ 2 }{ 3 } } }$$

Evaluate

$$-\frac{16}{15}\approx -1.066666667$$

Solution Steps

Divide 8 by \frac{5}{-\frac{2}{3}} by multiplying 8 by the reciprocal of \frac{5}{-\frac{2}{3}}.

$$\frac{8\left(-\frac{2}{3}\right)}{5}$$

Express 8\left(-\frac{2}{3}\right) as a single fraction.

$$\frac{\frac{8\left(-2\right)}{3}}{5}$$

Multiply 8 and -2 to get -16.

$$\frac{\frac{-16}{3}}{5}$$

Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.

$$\frac{-\frac{16}{3}}{5}$$

Express \frac{-\frac{16}{3}}{5} as a single fraction.

$$\frac{-16}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{-16}{15}$$

Fraction \frac{-16}{15} can be rewritten as -\frac{16}{15} by extracting the negative sign.

$$-\frac{16}{15}$$

Factor

$$-\frac{16}{15} = -1\frac{1}{15} = -1.0666666666666667$$