Answer
$6$
Work Step by Step
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,
$\require{cancel}
\\=\dfrac{10(9)}{3(5)}
\\=\dfrac{\cancel{10}^2(\cancel{9}^3)}{\cancel{3}(\cancel{5)}}
\\=2(3)
\\=6$