In A fith grade class 3/4 of th students like to go to the movies. Of the students who like to go to the movies 2/3 of them like action movies. Of the students who like to go to action movies 4/5 of them like comedians. What fraction of the students in the class like to go to action movies?

Question

04-04-2018
Mathematics

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In A fith grade class 3/4 of th students like to go to the movies. Of the students who like to go to the movies 2/3 of them like action movies. Of the students who like to go to action movies 4/5 of them like comedians. What fraction of the students in the class like to go to action movies?

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Аноним Аноним · Answer 1 · 2018-04-04T00:50:38+02:00

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Fraction of students that like movies:
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[tex] \dfrac{3}{4} [/tex]

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Fraction of the students like action movies :
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[tex] \dfrac{2}{3} \times \dfrac{3}{4} = \dfrac{6}{12} = \dfrac{1}{2} [/tex]

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Fraction of the students who like action and comedy movies:
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[tex] \dfrac{4}{5} \times \dfrac{1}{2} = \dfrac{4}{10} = \dfrac{2}{5} [/tex]

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Answer:
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[tex] \dfrac{2}{5} \text { of the students like action and comedy movies. }[/tex]