A student was asked to find the of \(9\frac{4}{9} \div 11\frac{1}{3}\rm \ of\ \frac{1}{6} + \left( {1\frac{1}{3} \times 1\frac{4}{5} \div \frac{3}{5}} \right) \times 2\frac{1}{6} \rm \ of\ \frac{2}{3} \div \frac{4}{3}\rm \ of\ \frac{2}{3}\). His answer was \(19\frac{1}{4}\) What is the difference between his answer and the correct answer?

• A. \(7\frac{3}{4}\)
• B. \(6\frac{1}{3}\)
• C. \(7\frac{1}{2}\)
• D. \(6\frac{2}{3}\)