Question

Two friends are playing tic-tac-toe. If Amy wins $\frac{3}{8}$ of the time, Lily wins $\frac{3}{10}$ of the time, and they tie the rest of the time, then what fraction of the time do they tie?

Answer 1

this one i need help

Answer 2

there are only three outcomes for tic-tac-toe:
1. Amy wins
2. Lily wins
3. They tie

therefore,

(fraction that Amy wins) + (fraction that Lily wins) + (fraction that they tie) = 1

therefore:
fraction that they tie = 1 - (Amy's wins) - (Lily's wins)

substituting the fractions from the problem:
1 - (3/8) - (3/10) = ?