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The game lasts 3/8 hours. Jose 12 played of these games. For how long did he play in total? Write your answer in simplest form.

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To find out how long Jose played in total, we need to multiply the duration of one game by the number of games he played.

The duration of one game is given as 3/8 hours.

To find the total duration, we multiply the duration of one game by the number of games:

Total duration = (3/8) hours/game * 12 games

To multiply fractions, we multiply the numerators together and the denominators together:

Total duration = (3 * 12) / (8 * 1) hours

Simplifying the numerator:

Total duration = 36 / 8 hours

We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:

Total duration = 9 / 2 hours

Therefore, Jose played for a total of 9/2 hours, or 4.5 hours.
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