Solve 5(-3)-2(-1/2)/-frac{7{2}}

$$\frac { 5 ( - 3 ) - 2 ( - \frac { 1 } { 2 } ) } { - \frac { 7 } { 2 } }$$

Evaluate

$$4$$

Solution Steps

Multiply 5 and -3 to get -15.

$$\frac{-15-2\left(-\frac{1}{2}\right)}{-\frac{7}{2}}$$

Cancel out 2 and 2.

$$\frac{-15-\left(-1\right)}{-\frac{7}{2}}$$

The opposite of -1 is 1.

$$\frac{-15+1}{-\frac{7}{2}}$$

Add -15 and 1 to get -14.

$$\frac{-14}{-\frac{7}{2}}$$

Divide -14 by -\frac{7}{2} by multiplying -14 by the reciprocal of -\frac{7}{2}.

$$-14\left(-\frac{2}{7}\right)$$

Express -14\left(-\frac{2}{7}\right) as a single fraction.

$$\frac{-14\left(-2\right)}{7}$$

Multiply -14 and -2 to get 28.

$$\frac{28}{7}$$

Divide 28 by 7 to get 4.

$$4$$

Factor

$$2^{2}$$