Solve 4/3/frac{1{2}-1}

$$\frac { \frac { 4 } { 3 } } { \frac { 1 } { 2 } - 1 }$$

Evaluate

$$-\frac{8}{3}\approx -2.666666667$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{4}{3}}{\frac{1}{2}-\frac{2}{2}}$$

Since \frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4}{3}}{\frac{1-2}{2}}$$

Subtract 2 from 1 to get -1.

$$\frac{\frac{4}{3}}{-\frac{1}{2}}$$

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

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

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

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

Multiply 4 and -2 to get -8.

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

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

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

Factor

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$