The park has dedicated $$ \frac{4}{5} $$ of its area to picnic spaces. Of that section, $$ \frac{2}{5} $$ is reserved for family gatherings. What fraction of the entire park is reserved for family gatherings?

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To find the fraction of the entire park that is reserved for family gatherings, we can follow these steps:

1. **Identify the fraction of the park dedicated to picnic spaces**: 
   The park has dedicated $$ \frac{4}{5} $$ of its area to picnic spaces.

2. **Identify the fraction of the picnic area reserved for family gatherings**: 
   Of the picnic area, $$ \frac{2}{5} $$ is reserved for family gatherings.

3. **Calculate the fraction of the entire park reserved for family gatherings**: 
   To find this, we multiply the fraction of the park dedicated to picnic spaces by the fraction of that area reserved for family gatherings.

$$
   \text{Fraction reserved for family gatherings} = \left( \frac{4}{5} \right) \times \left( \frac{2}{5} \right)
   $$

Now, let's perform the multiplication:

$$
\frac{4}{5} \times \frac{2}{5} = \frac{4 \times 2}{5 \times 5} = \frac{8}{25}
$$

Thus, the fraction of the entire park that is reserved for family gatherings is $$ \frac{8}{25} $$.
$$ \frac{8}{25} $$ of the entire park is reserved for family gatherings.

The park has dedicated \( \frac{4}{5} \) of its area to picnic spaces. Of that section, \( \frac{2}{5} \) is reserved for family gatherings. What fraction of the entire park is reserved for family gatherings?

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