Question

2/5 of the of the animals at the zoo are fish. 1/3 of the fish are salmon. What fraction of the animals at the zoo are salmon? ______________ are salmon.

Answer 1

To find the fraction of the animals at the zoo that are salmon, we can follow these steps:

1. Let the total number of animals at the zoo be represented as \( A \).
2. Given that \( \frac{2}{5} \) of the animals are fish, we can express the number of fish as:
\[
\text{Number of fish} = \frac{2}{5} A
\]
3. Given that \( \frac{1}{3} \) of the fish are salmon, we can find the number of salmon as:
\[
\text{Number of salmon} = \frac{1}{3} \times \text{Number of fish} = \frac{1}{3} \times \frac{2}{5} A
\]
Simplifying this, we have:
\[
\text{Number of salmon} = \frac{2}{15} A
\]

4. This means the fraction of the total animals at the zoo that are salmon is:
\[
\frac{2}{15}
\]

Thus, the final answer is:
\(\frac{2}{15}\) are salmon.