My baseball team won $2/9$ of its games this season.  If we lost 15 more games than we won, how many games did we play this year?
To solve this problem, I need to find the total number of games my team played, which I can call $g$. I know that we won $2/9$ of $g$, so that means we lost $7/9$ of $g$. I also know that we lost 15 more games than we won, so I can write an equation to relate these quantities: $7/9$ of $g$ equals $2/9$ of $g$ plus 15. To solve for $g$, I need to get rid of the fractions, so I can multiply both sides of the equation by 9: $7g = 2g + 135$. Now I can subtract $2g$ from both sides to isolate $g$: $5g = 135$. Finally, I can divide both sides by 5 to get $g$: $g = 27$. This means my team played 27 games this season. 