Of the students in Kayla’s class, 2/5 have a pet dog. Of the students who have a dog, 2/3 also have a cat. What fraction of the students in Kayla’s class have both a cat and a dog?


To minimize the words in the analysis, use “A” to represent the number of students in Kayla’s class.
Number of students with dogs = 2/5 of A = (2/5)A
Number of students with cats = 2/3 of (2/5)A = (2/3)(2/5)A = (4/15)A
Number of students with cats and dogs = (4/15)A = 4/15 of students in Kayla’s class

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