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

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

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

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

$$\frac{-\left(3-\frac{1}{2}\right)}{4+1}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{-\left(\frac{6}{2}-\frac{1}{2}\right)}{4+1}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{6-1}{2}}{4+1}$$

Subtract 1 from 6 to get 5.

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

Add 4 and 1 to get 5.

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

Express \frac{-\frac{5}{2}}{5} as a single fraction.

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

Multiply 2 and 5 to get 10.

$$\frac{-5}{10}$$

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

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

Factor

$$-\frac{1}{2} = -0.5$$