Convert the mixed numbers to the improper fractions:
[tex]5\dfrac{1}{2}=\dfrac{5\cdot2+1}{2}=\dfrac{11}{2}\\\\1\dfrac{2}{9}=\dfrac{1\cdot9+2}{9}=\dfrac{11}{9}\\\\5\dfrac{1}{2}\div1\dfrac{2}{9}=\dfrac{11}{2}\div\dfrac{11}{9}=\dfrac{11}{2}\cdot\dfrac{9}{11}=\dfrac{1}{2}\cdot\dfrac{9}{1}=\dfrac{9}{2}=4\dfrac{1}{2}[/tex]
