3/6 simplified is 1/2. To compare the fractions, you multiply the fractions to get the least common multiple, which in this case is 18 (2 x 9 is 18.) I would multiply 1/2 times 9, which would be 9/18. I would then multiply 2/9 by 2 to get the bottom number to 18, which would be 4/18. You can see that 4/18 and 9/18 are not the same. This is why they are not equivalent.
Ignore the part about her batting attempts, it is extra. Her winning ratio is 3/12 which is 1/4 simplified and if you do 1/4 or 3/12 you get 0.25 which is the decimal of how many games she won / how many total. To convert 0.25 to percentage multiply it by 100 to get 25% D