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Answer :
Final answer:
By multiplying the fraction of games that are racing games (1/2) by the fraction of those that are motorcycle-racing games (4/5), we find that 2/5 of the games at Kenji's Arcade are motorcycle-racing games.
Explanation:
In order to find the fraction of the games at Kenji's Arcade that are motorcycle-racing games, we need to multiply the fraction of games that are racing games by the fraction of racing games that are motorcycle-racing games. Since we know that 1/2 of the games are racing games and 4/5 of those racing games are motorcycle-racing games, we would multiply 1/2 by 4/5.
When you multiply fractions, you multiply the numerators (the top numbers) together, and the denominators (the bottom numbers) together. So the multiplication would be as follows:
(1/2) x (4/5) = (1x4) / (2x5) = 4 / 10
This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor. In this case, 4 and 10 can both be divided by 2. Thus, the simplified fraction is 2 / 5.
Therefore, 2 / 5 of the games at Kenji's Arcade are motorcycle-racing games.
Learn more about Multiplying fractions here:
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