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------------------------------------------------ At Porgie's Arcade, 2/5 of the games are animal games. Among the animal games, 5/6 are role-playing games. a) What fraction of the games at Porgie's Arcade are animal role-playing games? Write your answer a fraction in simplest-form.

To find the fraction of animal role-playing games at Porgie's Arcade, multiply the fraction of animal games by the fraction of those animal games that are role-playing. In this case, 2/5 multiplied by 5/6 gives 1/3. Therefore, 1/3 of the games at Porgie's Arcade are animal role-playing games.

Explanation:

This is a problem of fractions and to solve it, we need to multiply these fractions to get the fraction of animal role-playing games at Porgie's Arcade.

First, we know that 2/5 of the games are animal games. Secondly, 5/6 of these animal games are role-playing games. To find out what fraction of the total games are animal role-playing games, we multiply these two fractions together.

In simple form, we have:

(2/5) * (5/6) = 10/30 = 1/3

So, 1/3 of the games at Porgie's Arcade are animal role-playing games.

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