What is the sum of \[\frac{{{a}^{2}}}{2}-\] \[\frac{{{b}^{3}}}{3}-\] \[\frac{{{c}^{3}}}{4};\] \[\frac{2{{a}^{2}}}{3}-\] \[\frac{3{{b}^{3}}}{4}-\]\[\frac{4{{c}^{3}}}{5}\]and\[{{a}^{2}}+{{b}^{3}}+{{c}^{3}}\]?

• A.  \[\frac{13}{6}a-\frac{1}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\]
• B.  \[\frac{13}{6}a-\frac{21}{20}{{b}^{3}}+\frac{25}{12}{{c}^{3}}\]
• C.  \[\frac{13}{6}{{a}^{2}}+\frac{5}{12}{{b}^{3}}-\frac{1}{20}{{c}^{3}}\]
• D.  \[\frac{23}{6}{{b}^{2}}+\frac{25}{12}{{a}^{3}}-\frac{1}{20}{{c}^{3}}\]