Answer: [tex]\frac{22}{3}[/tex]
Step-by-step explanation: Divide
[tex]5\frac{1}{2}\div \frac{3}{4}[/tex]
Step 1: Convert the mixed number to improper fraction
[tex]5 \frac{1}{2} =\frac{11}{2}[/tex]
[tex]= \frac{11}{2}\div \frac{3}{4}[/tex]
Step 2: Reciprocal
[tex]\frac{11}{2}\times \frac{4}{3}[/tex]
Step 3: Divide the common factors
[tex]4 \div 2 = 2\\\\=\frac{11}{1}\times \frac{2}{3}[/tex]
Step 4: Multiply
[tex]\frac{11\times \:2}{1\times \:3}\\\\=\frac{22}{3}[/tex]
