Answered

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Hai has 24 video games. Six of his games are sports-related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games?

A. [tex]\(\frac{1}{4}\)[/tex]

B. [tex]\(\frac{1}{3}\)[/tex]

C. [tex]\(\frac{2}{3}\)[/tex]

D. [tex]\(\frac{3}{4}\)[/tex]

Sagot :

GinnyAnswer
To determine the ratio of the number of role-playing games to the total number of games, we need to follow these steps:

1. Identify the total number of games and the number of sports-related games:
- Total games: 24
- Sports-related games: 6

2. Calculate the number of role-playing games:
- Role-playing games = Total games - Sports-related games
- Role-playing games = 24 - 6
- Role-playing games = 18

3. Determine the ratio of role-playing games to total games:
- Ratio = Number of role-playing games / Total number of games
- Ratio = 18 / 24

4. Simplify the ratio:
- Divide the numerator and the denominator by their greatest common divisor, which is 6:
- Ratio = (18 ÷ 6) / (24 ÷ 6)
- Ratio = 3 / 4

Thus, the ratio of the number of role-playing games to the total number of games is [tex]\(\frac{3}{4}\)[/tex].

Therefore, the correct answer is:
[tex]\[\frac{3}{4}\][/tex]
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