Solve (-2/3)div1/8*8

$$( - \frac { 2 } { 3 } ) \div \frac { 1 } { 8 } \times 8$$

Evaluate

$$-\frac{128}{3}\approx -42.666666667$$

Solution Steps

Divide -\frac{2}{3} by \frac{1}{8} by multiplying -\frac{2}{3} by the reciprocal of \frac{1}{8}.

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

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

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

Multiply -2 and 8 to get -16.

$$\frac{-16}{3}\times 8$$

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

$$-\frac{16}{3}\times 8$$

Express -\frac{16}{3}\times 8 as a single fraction.

$$\frac{-16\times 8}{3}$$

Multiply -16 and 8 to get -128.

$$\frac{-128}{3}$$

Fraction \frac{-128}{3} can be rewritten as -\frac{128}{3} by extracting the negative sign.

$$-\frac{128}{3}$$

Factor

$$-\frac{128}{3} = -42\frac{2}{3} = -42.666666666666664$$