Solve 4/1-frac{5{4-2}}

$$\frac{ 4 }{ 1- \frac{ 5 }{ 4-2 } }$$

Evaluate

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

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{4}{1-\frac{5}{2}}$$

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

$$\frac{4}{\frac{2}{2}-\frac{5}{2}}$$

Since \frac{2}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{\frac{2-5}{2}}$$

Subtract 5 from 2 to get -3.

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

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

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

Express 4\left(-\frac{2}{3}\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

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