A student was asked to simplify the following:\(\frac{{2\frac{4}{9} \div 1\frac{7}{{15}}\; \times \;\frac{3}{5} + 1\frac{1}{9}}}{{1\frac{1}{9}\; \times \;1\frac{1}{{20}} \div \frac{{21}}{{38}} - \frac{1}{3}}} \div \frac{{\frac{2}{3} \div \frac{3}{4}\; \times \;\frac{5}{6}}}{{\frac{2}{3} \div \frac{3}{4}of\frac{5}{6}}}\)His answer was \(\frac{{13}}{{25}}\). What is the difference between the correct answer and his answer?

• A. \(\frac{{117}}{{50}}\)
• B. \(\frac{{119}}{{50}}\)
• C. \(\frac{{119}}{{100}}\)
• D. \(\frac{{117}}{{100}}\)