Solve -(1/4-2+11-6)

$$- ( \frac { 1 } { 4 } - 2 + 11 - 6 )$$

Evaluate

$$-\frac{13}{4}=-3.25$$

Solution Steps

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

$$-\left(\frac{1}{4}-\frac{8}{4}+11-6\right)$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\left(\frac{1-8}{4}+11-6\right)$$

Subtract 8 from 1 to get -7.

$$-\left(-\frac{7}{4}+11-6\right)$$

Convert 11 to fraction \frac{44}{4}.

$$-\left(-\frac{7}{4}+\frac{44}{4}-6\right)$$

Since -\frac{7}{4} and \frac{44}{4} have the same denominator, add them by adding their numerators.

$$-\left(\frac{-7+44}{4}-6\right)$$

Add -7 and 44 to get 37.

$$-\left(\frac{37}{4}-6\right)$$

Convert 6 to fraction \frac{24}{4}.

$$-\left(\frac{37}{4}-\frac{24}{4}\right)$$

Since \frac{37}{4} and \frac{24}{4} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{37-24}{4}$$

Subtract 24 from 37 to get 13.

$$-\frac{13}{4}$$

Factor

$$-\frac{13}{4} = -3\frac{1}{4} = -3.25$$