Solve 3/6-18/4-11/2=

$$\frac { 3 } { 6 } - \frac { 18 } { 4 } - \frac { 11 } { 2 } =$$

Evaluate

$$-\frac{19}{2}=-9.5$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{18}{4}-\frac{11}{2}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}-\frac{9}{2}-\frac{11}{2}$$

Since \frac{1}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-9}{2}-\frac{11}{2}$$

Subtract 9 from 1 to get -8.

$$\frac{-8}{2}-\frac{11}{2}$$

Divide -8 by 2 to get -4.

$$-4-\frac{11}{2}$$

Convert -4 to fraction -\frac{8}{2}.

$$-\frac{8}{2}-\frac{11}{2}$$

Since -\frac{8}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-11}{2}$$

Subtract 11 from -8 to get -19.

$$-\frac{19}{2}$$

Factor

$$-\frac{19}{2} = -9\frac{1}{2} = -9.5$$