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

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

Evaluate

$$-\frac{16}{9}\approx -1.777777778$$

Solution Steps

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

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

Express -8\times \frac{2}{3} as a single fraction.

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

Multiply -8 and 2 to get -16.

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

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

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{-16}{9}$$

Fraction \frac{-16}{9} can be rewritten as -\frac{16}{9} by extracting the negative sign.

$$-\frac{16}{9}$$

Factor

$$-\frac{16}{9} = -1\frac{7}{9} = -1.7777777777777777$$