Answer
$\dfrac{7}{2}$
Work Step by Step
Convert each mixed number to an improper fraction to obtain:
$=\left(\dfrac{5(2)+4}{5}\right)\left(\dfrac{4(1)+1}{4}\right)
\\=\dfrac{14}{5} \cdot \dfrac{5}{4}$
Cancel common factors to obtain:
$\require{cancel}
\\=\dfrac{\cancel{14}7}{\cancel{5}} \cdot \dfrac{\cancel{5}}{\cancel{4}2}
\\=\dfrac{7}{1} \cdot \dfrac{1}{2}$
Multiply the numerators and multiply the denominators to obtain"
$=\dfrac{7(1)}{1(2)}
\\=\dfrac{7}{2}$
