Solve frac{-3sqrt{3}-1/4}{1/8}

$$\frac { - 3 \sqrt { 3 } - \frac { 1 } { 4 } } { \frac { 1 } { 8 } }$$

Evaluate

$$-24\sqrt{3}-2\approx -43.569219382$$

Solution Steps

Divide -3\sqrt{3}-\frac{1}{4} by \frac{1}{8} by multiplying -3\sqrt{3}-\frac{1}{4} by the reciprocal of \frac{1}{8}.

$$\left(-3\sqrt{3}-\frac{1}{4}\right)\times 8$$

Use the distributive property to multiply -3\sqrt{3}-\frac{1}{4} by 8.

$$-24\sqrt{3}-\frac{1}{4}\times 8$$

Express -\frac{1}{4}\times 8 as a single fraction.

$$-24\sqrt{3}+\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$-24\sqrt{3}-2$$

Factor

$$2 {(-12 \sqrt{3} - 1)} = -43.569219382$$