Solve 4*(-1/2)-(-9)div11/2

$$4 \times ( - \frac { 1 } { 2 } ) - ( - 9 ) \div 1 \frac { 1 } { 2 }$$

Evaluate

$$4$$

Solution Steps

Express 4\left(-\frac{1}{2}\right) as a single fraction.

$$\frac{4\left(-1\right)}{2}-\frac{-9}{\frac{1\times 2+1}{2}}$$

Multiply 4 and -1 to get -4.

$$\frac{-4}{2}-\frac{-9}{\frac{1\times 2+1}{2}}$$

Divide -4 by 2 to get -2.

$$-2-\frac{-9}{\frac{1\times 2+1}{2}}$$

Divide -9 by \frac{1\times 2+1}{2} by multiplying -9 by the reciprocal of \frac{1\times 2+1}{2}.

$$-2-\frac{-9\times 2}{1\times 2+1}$$

Multiply -9 and 2 to get -18.

$$-2-\frac{-18}{1\times 2+1}$$

Multiply 1 and 2 to get 2.

$$-2-\frac{-18}{2+1}$$

Add 2 and 1 to get 3.

$$-2-\frac{-18}{3}$$

Divide -18 by 3 to get -6.

$$-2-\left(-6\right)$$

The opposite of -6 is 6.

$$-2+6$$

Add -2 and 6 to get 4.

$$4$$

Factor

$$2^{2}$$