Question

2/3 of the children in a group have a pet dog. Of those who have a dog, 3/4 have a cat as well. What fraction of the children in the group have a dog and a cat?

Answer 1

Answer:

The  fraction of the children in the group that contains both dog and a cat is $\frac{17}{12}$

Step-by-step explanation:

The fraction of the children in the group that contains both dog and a cat is presented below:

= Pet dog + cat

$= \frac{2}{3} + \frac{3}{4}\\\\= \frac{8 + 9}{12} \\\\= \frac{17}{12}$

Hence, the fraction of the children in the group that contains both dog and a cat is $\frac{17}{12}$