Answer
$\frac{6}{13}$
Work Step by Step
Convert the mixed number to an improper fraction:
$=\frac{3}{4} \div \frac{8(1)+5}{8}
\\=\frac{3}{4} \div \frac{13}{8}$
Use the rule $\frac{a}{b} \div \frac{c}{d} =\frac{a}{b} \times \frac{d}{c}$ to obtain:
$\require{cancel}
=\frac{3}{4} \times \frac{8}{13}
\\=\frac{3}{\cancel{4}} \times \frac{\cancel{8}2}{13}
\\=\frac{3(2)}{1(13)}
\\=\frac{6}{13}$
