The problem in the image asks:

Kendra spends $\frac{3}{4}$ of an hour exercising each day. She spends $\frac{1}{2}$ of this time on the treadmill. What fraction of an hour does she spend on the treadmill?

Solution:

1. Kendra spends $\frac{3}{4}$ of an hour exercising in total.
2. She spends $\frac{1}{2}$ of this time on the treadmill.

We need to find $\frac{1}{2}$ of $\frac{3}{4}$, which means multiplying these two fractions:

$\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}$

Thus, Kendra spends $\frac{3}{8}$ of an hour on the treadmill. The correct answer is option D: $\frac{3}{8}$.

Would you like more details or have any questions?

Here are five related questions you could explore:

1. How do you multiply two fractions?
2. If Kendra spends $\frac{2}{3}$ of her exercise time on weights, what fraction of an hour is that?
3. How can you convert $\frac{3}{8}$ of an hour into minutes?
4. What is the total amount of time Kendra spends not on the treadmill?
5. How would the solution change if she spent $\frac{2}{3}$ of her time on the treadmill?

Tip: When multiplying fractions, multiply the numerators and denominators directly, then simplify if possible.