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 h

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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?

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RobertKer 4 years 2021-08-21T15:30:42+00:00 1 Answers 11 views 0

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  1. Philomena
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    2021-08-21T15:32:21+00:00
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    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}

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