Solve 3/2*-7/6div1/2

$$\frac { 3 } { 2 } \times \frac { - 7 } { 6 } \div \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$\frac{\frac{3}{2}\left(-\frac{7}{6}\right)}{\frac{1}{2}}$$

Multiply \frac{3}{2} times -\frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\left(-7\right)}{2\times 6}}{\frac{1}{2}}$$

Do the multiplications in the fraction \frac{3\left(-7\right)}{2\times 6}.

$$\frac{\frac{-21}{12}}{\frac{1}{2}}$$

Reduce the fraction \frac{-21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{7}{4}}{\frac{1}{2}}$$

Divide -\frac{7}{4} by \frac{1}{2} by multiplying -\frac{7}{4} by the reciprocal of \frac{1}{2}.

$$-\frac{7}{4}\times 2$$

Express -\frac{7}{4}\times 2 as a single fraction.

$$\frac{-7\times 2}{4}$$

Multiply -7 and 2 to get -14.

$$\frac{-14}{4}$$

Reduce the fraction \frac{-14}{4} to lowest terms by extracting and canceling out 2.

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

Factor

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