Solve (-55/6)-21/6+(-1/2)-(-3)

$$( - 5 \frac { 5 } { 6 } ) - 2 \frac { 1 } { 6 } + ( - \frac { 1 } { 2 } ) - ( - 3 )$$

Evaluate

$$-\frac{11}{2}=-5.5$$

Solution Steps

Multiply 5 and 6 to get 30.

$$-\frac{30+5}{6}-\frac{2\times 6+1}{6}-\frac{1}{2}-\left(-3\right)$$

Add 30 and 5 to get 35.

$$-\frac{35}{6}-\frac{2\times 6+1}{6}-\frac{1}{2}-\left(-3\right)$$

Multiply 2 and 6 to get 12.

$$-\frac{35}{6}-\frac{12+1}{6}-\frac{1}{2}-\left(-3\right)$$

Add 12 and 1 to get 13.

$$-\frac{35}{6}-\frac{13}{6}-\frac{1}{2}-\left(-3\right)$$

Since -\frac{35}{6} and \frac{13}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-35-13}{6}-\frac{1}{2}-\left(-3\right)$$

Subtract 13 from -35 to get -48.

$$\frac{-48}{6}-\frac{1}{2}-\left(-3\right)$$

Divide -48 by 6 to get -8.

$$-8-\frac{1}{2}-\left(-3\right)$$

Convert -8 to fraction -\frac{16}{2}.

$$-\frac{16}{2}-\frac{1}{2}-\left(-3\right)$$

Since -\frac{16}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16-1}{2}-\left(-3\right)$$

Subtract 1 from -16 to get -17.

$$-\frac{17}{2}-\left(-3\right)$$

The opposite of -3 is 3.

$$-\frac{17}{2}+3$$

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

$$-\frac{17}{2}+\frac{6}{2}$$

Since -\frac{17}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{-17+6}{2}$$

Add -17 and 6 to get -11.

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

Factor

$$-\frac{11}{2} = -5\frac{1}{2} = -5.5$$