Solve -3-(+2/3)div(-1/4)=

$$- 3 - ( + \frac { 2 } { 3 } ) \div ( - \frac { 1 } { 4 } ) =$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Divide \frac{2}{3} by -\frac{1}{4} by multiplying \frac{2}{3} by the reciprocal of -\frac{1}{4}.

$$-3-\frac{2}{3}\left(-4\right)$$

Express \frac{2}{3}\left(-4\right) as a single fraction.

$$-3-\frac{2\left(-4\right)}{3}$$

Multiply 2 and -4 to get -8.

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

Fraction \frac{-8}{3} can be rewritten as -\frac{8}{3} by extracting the negative sign.

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

The opposite of -\frac{8}{3} is \frac{8}{3}.

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

Convert -3 to fraction -\frac{9}{3}.

$$-\frac{9}{3}+\frac{8}{3}$$

Since -\frac{9}{3} and \frac{8}{3} have the same denominator, add them by adding their numerators.

$$\frac{-9+8}{3}$$

Add -9 and 8 to get -1.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$