Solve 11-w/30w^2/frac{w-11{5w^6}}

$$\frac { \frac { 11 - w } { 30 w ^ { 2 } } } { \frac { w - 11 } { 5 w ^ { 6 } } }$$

Evaluate

$$-\frac{w^{4}}{6}$$

Solution Steps

Divide \frac{11-w}{30w^{2}} by \frac{w-11}{5w^{6}} by multiplying \frac{11-w}{30w^{2}} by the reciprocal of \frac{w-11}{5w^{6}}.

$$\frac{\left(11-w\right)\times 5w^{6}}{30w^{2}\left(w-11\right)}$$

Extract the negative sign in 11-w.

$$\frac{-5\left(w-11\right)w^{6}}{30\left(w-11\right)w^{2}}$$

Cancel out 5\left(w-11\right)w^{2} in both numerator and denominator.

$$\frac{-w^{4}}{6}$$

Expand

$$-\frac{w^{4}}{6}$$

Solution Steps

Divide \frac{11-w}{30w^{2}} by \frac{w-11}{5w^{6}} by multiplying \frac{11-w}{30w^{2}} by the reciprocal of \frac{w-11}{5w^{6}}.

$$\frac{\left(11-w\right)\times 5w^{6}}{30w^{2}\left(w-11\right)}$$

Extract the negative sign in 11-w.

$$\frac{-5\left(w-11\right)w^{6}}{30\left(w-11\right)w^{2}}$$

Cancel out 5\left(w-11\right)w^{2} in both numerator and denominator.

$$\frac{-w^{4}}{6}$$