Solve -2+3/4div(-1/2)

$$-2+ \frac{ 3 }{ 4 } \div (- \frac{ 1 }{ 2 } )$$

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Divide \frac{3}{4} by -\frac{1}{2} by multiplying \frac{3}{4} by the reciprocal of -\frac{1}{2}.

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

Express \frac{3}{4}\left(-2\right) as a single fraction.

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

Multiply 3 and -2 to get -6.

$$-2+\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

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

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

$$-\frac{4}{2}-\frac{3}{2}$$

Since -\frac{4}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{2}$$

Subtract 3 from -4 to get -7.

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

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$