Solve 2(-3)+3/-2-2/(-sqrt{16)}

$$2 ( - 3 ) + \frac { 3 } { - 2 } - \frac { 2 } { ( - \sqrt { 16 } ) }$$

Evaluate

$$-7$$

Solution Steps

Multiply 2 and -3 to get -6.

$$-6+\frac{3}{-2}-\frac{2}{-\sqrt{16}}$$

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$-6-\frac{3}{2}-\frac{2}{-\sqrt{16}}$$

Convert -6 to fraction -\frac{12}{2}.

$$-\frac{12}{2}-\frac{3}{2}-\frac{2}{-\sqrt{16}}$$

Since -\frac{12}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-3}{2}-\frac{2}{-\sqrt{16}}$$

Subtract 3 from -12 to get -15.

$$-\frac{15}{2}-\frac{2}{-\sqrt{16}}$$

Calculate the square root of 16 and get 4.

$$-\frac{15}{2}-\frac{2}{-4}$$

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

$$-\frac{15}{2}-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$-\frac{15}{2}+\frac{1}{2}$$

Since -\frac{15}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{-15+1}{2}$$

Add -15 and 1 to get -14.

$$\frac{-14}{2}$$

Divide -14 by 2 to get -7.

$$-7$$

Factor

$$-7$$