Solve -1div2*1/2-1div6*[3-(-3)]-|-2|

$$- 1 \div 2 \times \frac { 1 } { 2 } - 1 \div 6 \times [ 3 - ( - 3 ) ] - | - 2 |$$

Evaluate

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

Solution Steps

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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

Multiply -\frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-1}{2\times 2}.

$$\frac{-1}{4}-\frac{1}{6}\left(3-\left(-3\right)\right)-|-2|$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$-\frac{1}{4}-\frac{1}{6}\left(3-\left(-3\right)\right)-|-2|$$

The opposite of -3 is 3.

$$-\frac{1}{4}-\frac{1}{6}\left(3+3\right)-|-2|$$

Add 3 and 3 to get 6.

$$-\frac{1}{4}-\frac{1}{6}\times 6-|-2|$$

Cancel out 6 and 6.

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

Convert 1 to fraction \frac{4}{4}.

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

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

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

Subtract 4 from -1 to get -5.

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

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

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

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

$$-\frac{5}{4}-\frac{8}{4}$$

Since -\frac{5}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-8}{4}$$

Subtract 8 from -5 to get -13.

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

Factor

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