Solve (-105/6)/frac{5{6}}

$$\frac { ( - 10 \frac { 5 } { 6 } ) } { \frac { 5 } { 6 } }$$

Evaluate

$$-13$$

Solution Steps

Multiply 10 and 6 to get 60.

$$\frac{-\frac{60+5}{6}}{\frac{5}{6}}$$

Add 60 and 5 to get 65.

$$\frac{-\frac{65}{6}}{\frac{5}{6}}$$

Divide -\frac{65}{6} by \frac{5}{6} by multiplying -\frac{65}{6} by the reciprocal of \frac{5}{6}.

$$-\frac{65}{6}\times \frac{6}{5}$$

Multiply -\frac{65}{6} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-65\times 6}{6\times 5}$$

Cancel out 6 in both numerator and denominator.

$$\frac{-65}{5}$$

Divide -65 by 5 to get -13.

$$-13$$

Factor

$$-13$$