Question

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.

Answer 1

Bethany spent 23/50 of the hockey game in goal, as calculated by dividing the 23 minutes she spent in goal by the total game time of 50 minutes. The fraction is already in its simplest form because 23 is a prime number.

Step-by-step explanation:

The question asks how one would calculate the fraction of time that Bethany spent as a goalie during a hockey game. The game duration is from 14:45 to 15:35, which is 50 minutes in total. Bethany was in goal for 23 minutes. To find the fraction of the game Bethany spent in goal, we divide the time she spent in goal by the total game time and simplify.

To determine the fraction:

1. First, calculate the total duration of the game: 15:35 - 14:45 = 50 minutes.
2. Identify the time Bethany spent in goal: 23 minutes.
3. Create the fraction: 23 minutes (in goal) / 50 minutes (total game time).
4. Simplify the fraction by finding the greatest common divisor (GCD) of 23 and 50, which is 1 since 23 is a prime number.
5. Thus, the simplified fraction is 23/50.

Bethany spent 23/50 of the game in goal, which is the simplest form of the fraction representing her time as a goalie.