To get the result first we have to transform those fraction into improper fraction.
[tex]4 \frac{11}{12}= \frac{4*12+11}{12}= \frac{59}{12} [/tex]
[tex]-4 \frac{1}{6} =- \frac{4*6+1}{6}=- \frac{25}{6} [/tex]
We know that if we want to divide 2 fraction we can multiply first by inverse of second fraction. Lets do this
[tex] \frac{59}{12}:- \frac{25}{6}= \frac{59}{12}*- \frac{6}{25} =- \frac{59*6}{12*25}=- \frac{354}{300}=- \frac{59}{30}=-1 \frac{29}{30} [/tex] - its the answer
