11
Explanations:The given expression is:
[tex]5\frac{1}{2}\text{ }\div\text{ }\frac{3}{6}[/tex][tex]\begin{gathered} \text{First convert 5}\frac{1}{2}\text{ to improper fraction} \\ 5\frac{1}{2}\text{ = }\frac{11}{2} \end{gathered}[/tex]The given expression can therefore also be written as:
[tex]\frac{11}{2}\text{ }\div\text{ }\frac{3}{6}[/tex]Change the division sign (÷) to multiplication (x), and change 3/6 to 6/3
[tex]\begin{gathered} \frac{11}{2}\times\frac{6}{3} \\ \text{Multiply the numerator together, and also the denominator together} \\ \frac{66}{6} \\ =\text{ 11} \end{gathered}[/tex]