Hello I hope I can be of assistance!
First..
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions} \ \textgreater \ \frac{\left(-\frac{17}{6}\right)}{\frac{3}{51}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\ \frac{-a}{b}=-\frac{a}{b} \ \textgreater \ -\frac{\frac{17}{6}}{\frac{3}{51}}[/tex]
[tex]\mathrm{Divide\:fractions}:\ \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \ \textgreater \ -\frac{17\cdot \:51}{6\cdot \:3}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18 \ \textgreater \ -\frac{17\cdot \:51}{18}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:17\cdot \:51=867 \ \textgreater \ -\frac{867}{18}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3 \ \textgreater \ -\frac{289}{6} [/tex]
Finally...
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers} \ \textgreater \ -48\frac{1}{6}[/tex]
Hope this helps!
