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Let's solve this problem step by step.

### 1. Determine the total game time:
The game started at **14:45** and finished at **15:35**.

To calculate the duration, subtract the start time from the end time:
- From 14:45 to 15:35 is **50 minutes**.

So, the total game duration is **50 minutes**.

### 2. Determine the fraction of the game Bethany spent in goal:
Bethany spent **23 minutes** in goal.

The fraction of the game she spent in goal is:

\[
\frac{23 \text{ minutes}}{50 \text{ minutes}} = \frac{23}{50}
\]

### 3. Simplify the fraction:
Since 23 and 50 have no common factors other than 1, the fraction \(\frac{23}{50}\) is already in its simplest form.

### Final Answer:
Bethany spent **\(\frac{23}{50}\)** of the game in goal.

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Do you need more details or have any questions?

Here are some related questions to consider:
1. How can we calculate time differences when hours change?
2. How do we simplify a fraction if the numerator and denominator share a common factor?
3. How would you convert the fraction of time spent into a percentage?
4. What would the fraction be if Bethany spent 30 minutes in goal instead?
5. How do we find the least common multiple (LCM) of two numbers?

**Tip:** When simplifying fractions, always check if both the numerator and denominator can be divided by a common factor.

Bethany played in a school hockey game. The game started at 14:45 and finished at 15:35. Bethany spent 23 minutes of the game in goal. What fraction of the game did Bethany spend in goal? Give your answer in its simplest form.

Learn how to calculate the fraction of time Bethany spent in goal during a hockey game. This problem involves basic time subtraction and simplifying fractions. Suitable for students in Grades 5-6.

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