To find Uriel's rate of can crushing in cans per minute, we can start by determining how many cans he crushes in one full minute.
Uriel can crush 3 cans in \( \frac{2}{3} \) of a minute. To find the number of cans crushed in 1 minute, we can set up a proportion using the crushing rate.
First, we can calculate how many cans he would crush in 1 minute:
\[ \text{Cans per minute} = \frac{\text{Cans crushed}}{\text{Time taken (in minutes)}} \]
Given that he crushes 3 cans in \( \frac{2}{3} \) of a minute, we can find the rate \( R \) as follows:
\[ R = \frac{3 \text{ cans}}{\frac{2}{3} \text{ minutes}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ R = 3 \text{ cans} \times \frac{3}{2} \]
Calculating this gives:
\[ R = \frac{9}{2} \text{ cans} = 4.5 \text{ cans per minute} \]
Thus, Uriel crushes aluminum cans at a rate of \( \boxed{4.5} \) cans per minute.
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