First..
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions} \ \textgreater \ \frac{\left(\frac{15}{4}\right)}{\frac{45}{8}}[/tex]
[tex]\mathrm{Divide\:fractions}: \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \ \textgreater \ \frac{15\cdot \:8}{4\cdot \:45}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:45=180 \ \textgreater \ \frac{8\cdot \:15}{180}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:15\cdot \:8=120 \ \textgreater \ \frac{120}{180}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:60 \ \textgreater \ \frac{2}{3}[/tex]
Hope this helps!
