## Elementary Technical Mathematics

$18$
Convert each mixed number to improper fraction to obtain: $=\dfrac{7(3)+6}{7} \times \dfrac{3(4)+2}{3} \\=\dfrac{27}{7} \times \dfrac{14}{3}$ Cancel common factors to obtain: $\require{cancel} \\=\dfrac{\cancel{27}^9}{\cancel{7}} \times \dfrac{\cancel{14}^2}{\cancel{3}} \\=\dfrac{9}{1} \times \dfrac{2}{1} \\=\dfrac{9(2)}{1(1)} \\=18$