Solve -2994*1/2-3/frac{1{2}-1}

$$\frac{ -2994 \times \frac{ 1 }{ 2 } -3 }{ \frac{ 1 }{ 2 } -1 }$$

Evaluate

$$3000$$

Solution Steps

Multiply -2994 and \frac{1}{2} to get \frac{-2994}{2}.

$$\frac{\frac{-2994}{2}-3}{\frac{1}{2}-1}$$

Divide -2994 by 2 to get -1497.

$$\frac{-1497-3}{\frac{1}{2}-1}$$

Subtract 3 from -1497 to get -1500.

$$\frac{-1500}{\frac{1}{2}-1}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{-1500}{\frac{1}{2}-\frac{2}{2}}$$

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

$$\frac{-1500}{\frac{1-2}{2}}$$

Subtract 2 from 1 to get -1.

$$\frac{-1500}{-\frac{1}{2}}$$

Divide -1500 by -\frac{1}{2} by multiplying -1500 by the reciprocal of -\frac{1}{2}.

$$-1500\left(-2\right)$$

Multiply -1500 and -2 to get 3000.

$$3000$$

Factor

$$2^{3}\times 3\times 5^{3}$$