To find out what portion of the entire display area will be used for fruit pies, we can multiply the fractions provided:

• $\frac{2}{5}$ of the display area is for pies.
• $\frac{3}{4}$ of that area will be for fruit pies.

Now multiply these two fractions together to find the portion of the total display for fruit pies:

$\frac{2}{5} \times \frac{3}{4} = \frac{2 \times 3}{5 \times 4} = \frac{6}{20}$

Next, simplify the fraction $\frac{6}{20}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

$\frac{6}{20} = \frac{3}{10}$

Therefore, $\frac{3}{10}$ of the entire display area will be used for fruit pies.

Would you like more details or have any questions?

Here are five related questions for further practice:

1. What portion of the display area will be non-fruit pies?
2. If the total display area is 100 square feet, how many square feet will be dedicated to fruit pies?
3. If Sally changes the plan to make only $\frac{1}{2}$ of the pies fruit pies, what fraction of the display will be fruit pies then?
4. What fraction of the pies on display are not fruit pies?
5. If Sally adds another type of pie that takes up $\frac{1}{8}$ of the pie area, how much of the total display area does it take?

Tip: When multiplying fractions, multiply the numerators together and the denominators together before simplifying.