Solve (-91/2):(-1/6)=

$$( - 9 \frac { 1 } { 2 } ) : ( - \frac { 1 } { 6 } ) =$$

Evaluate

$$57$$

Solution Steps

Multiply 9 and 2 to get 18.

$$\frac{-\frac{18+1}{2}}{-\frac{1}{6}}$$

Add 18 and 1 to get 19.

$$\frac{-\frac{19}{2}}{-\frac{1}{6}}$$

Divide -\frac{19}{2} by -\frac{1}{6} by multiplying -\frac{19}{2} by the reciprocal of -\frac{1}{6}.

$$-\frac{19}{2}\left(-6\right)$$

Express -\frac{19}{2}\left(-6\right) as a single fraction.

$$\frac{-19\left(-6\right)}{2}$$

Multiply -19 and -6 to get 114.

$$\frac{114}{2}$$

Divide 114 by 2 to get 57.

$$57$$

Factor

$$3\times 19$$