Albert walks 4/5 of a mile in 5/12 of an hour. Which expression can be used to calculate his unit rate in miles per hour?

A. 4 over 5 - 5 over 12

B. 5 over 12 x 4 over 5

C. 5/12/4/5

D. 4/5/5/12

1 answer

To find Albert's unit rate in miles per hour, you would want to divide the distance he walked (in miles) by the time it took him (in hours).

He walked \( \frac{4}{5} \) of a mile in \( \frac{5}{12} \) of an hour.

The expression to calculate the unit rate is:

\[ \text{Unit Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{4/5}{5/12} \]

When dividing by a fraction, you can multiply by the reciprocal. Therefore, the expression can be rewritten as:

\[ 4/5 \div 5/12 = 4/5 \times 12/5 \]

Among the options provided, D. \( 4/5 \div 5/12 \) matches this calculation as it also represents the division needed to find the unit rate.

So, the correct answer is:

D. \( 4/5 \div 5/12 \)