If \[A\,=\,\frac{5}{15}\,-\,\frac{3}{15}\,,\,B\,=\,\frac{4}{5}\,-\,\frac{3}{5}\,+\,\frac{9}{5}\] and \[C\,=\,\frac{4}{15}\,-\,\frac{9}{15}\,+\,\frac{6}{15},\]then find the value of \[\frac{A\,+\,B\,+\,C}{2}.\]

• A. \[\frac{11}{10}\]
• B. \[\frac{10}{11}\]
• C. \[\frac{9}{10}\]
• D. \[\frac{7}{10}\]
• E. None of these