## Elementary Technical Mathematics

$6$
Convert each mixed number to an improper fraction to obtain: $=\left(-\dfrac{3(3)+1}{3}\right)\left(-\dfrac{5(1)+4}{5}\right) \\=\left(-\dfrac{10}{3}\right)\left(-\dfrac{9}{5}\right)$ Multiply the numerators together and the denominators together. Note that the product of two negative numbers is positive, $\require{cancel} \\=\dfrac{10(9)}{3(5)} \\=\dfrac{\cancel{10}^2(\cancel{9}^3)}{\cancel{3}(\cancel{5)}} \\=2(3) \\=6$