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At the Benton Zoo, 1/2 of the animals are primates. Of the primates, 1/2 are monkeys. What fraction of the animals at the Benton Zoo are monkeys?

Write your answer as a fraction or as a whole or mixed number.

1 answer

To find the fraction of the animals at the Benton Zoo that are monkeys, we can follow these steps:

  1. Determine the fraction of animals that are primates: According to the problem, 1/2 of the animals are primates.

  2. Determine the fraction of primates that are monkeys: It is given that 1/2 of the primates are monkeys.

  3. Calculate the fraction of animals that are monkeys: We can find the fraction of the total animals that are monkeys by multiplying the fraction of animals that are primates (1/2) by the fraction of primates that are monkeys (1/2):

    \[ \text{Fraction of animals that are monkeys} = \frac{1}{2} \times \frac{1}{2} = \frac{1 \times 1}{2 \times 2} = \frac{1}{4} \]

Thus, the fraction of the animals at the Benton Zoo that are monkeys is \(\frac{1}{4}\).