To find out how far Hakim's electric car can go on a full charge, we can start by determining the distance it can travel per unit of charge.
Given that the car can travel 180 miles on \( \frac{2}{3} \) of a full charge, we can find the distance for a full charge by using the following proportion:
\[ \text{Distance on full charge} = \frac{180 \text{ miles}}{\frac{2}{3}} \]
To divide by \( \frac{2}{3} \), we can multiply by its reciprocal, \( \frac{3}{2} \):
\[ \text{Distance on full charge} = 180 \text{ miles} \times \frac{3}{2} \]
Calculating this gives:
\[ \text{Distance on full charge} = 180 \times 1.5 = 270 \text{ miles} \]
Thus, Hakim’s electric car can go 270 miles on a full charge.