To find Albert's average speed in miles per hour, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
In this case, the distance Albert walks is \( \frac{4}{5} \) miles and the time taken is \( \frac{5}{12} \) hours.
First, we will plug in the values into the formula:
\[ \text{Speed} = \frac{\frac{4}{5}}{\frac{5}{12}} \]
To divide by a fraction, we multiply by its reciprocal. Thus:
\[ \text{Speed} = \frac{4}{5} \times \frac{12}{5} \]
Now, we can multiply the numerators and the denominators:
\[ \text{Speed} = \frac{4 \times 12}{5 \times 5} = \frac{48}{25} \]
Next, we can convert \( \frac{48}{25} \) into a mixed number or a decimal if needed.
To convert \( \frac{48}{25} \) to a decimal:
\[ \frac{48}{25} = 1.92 \]
Thus, Albert's average speed is:
\[ \boxed{1.92} \text{ miles per hour.} \]