Question
1. A baseball team played 32 games and lost 8 , Katy was the çatcher in \( \frac{5}{8} \) of the winning games and of the losing games. a. What fraction of the games did the team win?
Ask by Macdonald Beck. in Turkey
Jan 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The team won \(\frac{3}{4}\) of the games.
Solution
To find the fraction of games that the baseball team won, we can follow these steps:
1. **Determine the total number of games played and lost:**
- Total games played = 32
- Games lost = 8
2. **Calculate the number of games won:**
\[
\text{Games won} = \text{Total games} - \text{Games lost} = 32 - 8 = 24
\]
3. **Calculate the fraction of games won:**
\[
\text{Fraction of games won} = \frac{\text{Games won}}{\text{Total games}} = \frac{24}{32}
\]
4. **Simplify the fraction:**
\[
\frac{24}{32} = \frac{3}{4}
\]
Thus, the fraction of the games that the team won is \(\frac{3}{4}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
The baseball team played a total of 32 games and lost 8, which means they won \(32 - 8 = 24\) games. To find the fraction of games that the team won, we take the number of games won (24) and divide it by the total number of games (32). So, the fraction of games won is \( \frac{24}{32} \) which simplifies to \( \frac{3}{4} \). This means the team won 75% of their games! Isn't it exciting to think about how a team can rally together and pull off a strong winning season?