Answer:
34.85%.
Step-by-step explanation:
We have been given that a baseball team is in second place with a win to loss ratio of .535.
[tex]\text{Win}:\text{Loss}=0.535[/tex]
So ratio of win to the total games played would be:
[tex]\text{Win}:\text{total}=\frac{0.535}{1+0.535}[/tex]
[tex]\text{Win}:\text{total}=\frac{0.535}{1.535}[/tex]
[tex]\text{Win}:\text{total}=0.3485342[/tex]
Now, we need to convert our given decimal into percentage. So do so, we will multiply 0.3485342 by 100.
[tex]\text{Percent of the games played won by team}=0.3485342\times 100\%[/tex]
[tex]\text{Percent of the games played won by team}=34.85342\%[/tex]
[tex]\text{Percent of the games played won by team}\approx 34.85\%[/tex]
Therefore, the team won 34.85% of the played games.