https://file.aiquickdraw.com/mathbot/file/1727423741831a498lez0.jpg

To solve this problem, let's analyze the given information:

### Given:
- Art mows \( \frac{1}{8} \) acre in \( \frac{1}{4} \) hour.
- We need to find out how many acres Art mows per hour.

### Solution:
To determine how many acres Art mows per hour, we divide the amount of acres mowed by the time it takes.

\[
\text{Rate} = \frac{\text{acres mowed}}{\text{time taken}} = \frac{\frac{1}{8} \text{ acre}}{\frac{1}{4} \text{ hour}}
\]

We can simplify this division:
\[
\frac{\frac{1}{8}}{\frac{1}{4}} = \frac{1}{8} \times \frac{4}{1} = \frac{4}{8} = \frac{1}{2}
\]

Therefore, Art mows \( \frac{1}{2} \) acre per hour.

### Correct Answer:
The answer is (a) \( \frac{1}{2} \) acre.

It seems the chosen answer of 2 acres (option d) is incorrect.

Would you like further details or have any questions?

### Related Questions
1. If Art mows \( \frac{1}{8} \) acre in \( \frac{1}{4} \) hour, how many acres would he mow in 2 hours?
2. How much time would it take Art to mow 1 acre at his current rate?
3. If another person mows twice as fast as Art, how many acres would that person mow in 1 hour?
4. If Art's mowing rate increases by 50%, how many acres would he mow per hour?
5. If Art mows \( \frac{1}{8} \) acre in \( \frac{1}{4} \) hour, how many hours will it take him to mow 3 acres?

### Tip
When dealing with rates, dividing the quantity by the time gives you a unit rate (per hour, per minute, etc.). This technique is especially useful for finding speeds, efficiency, and productivity.

Art mows 1/8 acre in 1/4 hour. How many acres does Art mow per hour?

Learn how to calculate how many acres Art mows per hour, given that he mows 1/8 acre in 1/4 hour. This problem teaches key mathematical concepts like unit rates and division of fractions, perfect for students in Grades 6-8.

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