## Elementary Technical Mathematics

$\dfrac{6}{53}$
Write the mixed number in improper fraction form to obtain: $=\dfrac{3}{8} \div \dfrac{16(3)+5}{16} \\=\dfrac{3}{8} \div \dfrac{53}{16}$ Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain: $=\dfrac{3}{8} \times \dfrac{16}{53}$ Cancel common factors then multiply to obtain: $\require{cancel} \\=\dfrac{3}{\cancel{8}} \times \dfrac{\cancel{16}^2}{53} \\=\dfrac{3}{1} \times \dfrac{2}{53} \\=\dfrac{3(2)}{1(53)} \\=\dfrac{6}{53}$