Answer by JKismyhusbandbae:
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{5}{8}=\frac{45}{8}\\=-\frac{45}{8}\div \:5\\\mathrm{Convert\:element\:to\:fraction}:\quad \:5=\frac{5}{1}\\=-\frac{45}{8}\div \frac{5}{1}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=-\frac{45}{8}\times \frac{1}{5}\\\mathrm{Cross-cancel\:common\:factor:}\:5\\=-\frac{9}{8}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{9}{8}=1\frac{1}{8}\\[/tex]
