3. If $$ x $$ represents a number, does $$ \frac{2}{5} \cdot x $$ always represent $$ 40 \% $$ of that number?

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To determine if $$ \frac{2}{5} \cdot x $$ always represents $$ 40\% $$ of the number $$ x $$, we can start by expressing $$ 40\% $$ as a fraction.

1. **Convert $$ 40\% $$ to a fraction:**
   $$
   40\% = \frac{40}{100} = \frac{2}{5}
   $$

2. **Now, we can compare $$ \frac{2}{5} \cdot x $$ with $$ 40\% $$ of $$ x $$:**
   $$
   40\% \text{ of } x = \frac{2}{5} \cdot x
   $$

Since both expressions are equal, we can conclude that:

$$
\frac{2}{5} \cdot x \text{ does indeed represent } 40\% \text{ of } x.
$$

Thus, the answer is **Yes**, $$ \frac{2}{5} \cdot x $$ always represents $$ 40\% $$ of that number $$ x $$.
Yes, $$ \frac{2}{5} \cdot x $$ always represents $$ 40\% $$ of $$ x $$.

3. If \( x \) represents a number, does \( \frac{2}{5} \cdot x \) always represent \( 40 \% \) of that number?

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