\(\displaystyle {{A}} = {\displaystyle {{2 \over 3} + {2 \over 5} - {2 \over 9}} \over {\displaystyle {4 \over 3} + {4 \over 5} - {4 \over 9}}} \)
\(\displaystyle A = {{2.\left( {\displaystyle {1 \over 3} + {1 \over 5} - {1 \over 9}} \right)} \over {4.\left( {\displaystyle {1 \over 3} + {1 \over 5} - {1 \over 9}} \right)}} = {2 \over 4} = {1 \over 2}\)