Elementary Technical Mathematics

$\frac{6}{13}$
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: $\require{cancel} =\frac{3}{4} \times \frac{8}{13} \\=\frac{3}{\cancel{4}} \times \frac{\cancel{8}2}{13} \\=\frac{3(2)}{1(13)} \\=\frac{6}{13}$