Question
Hakim’s electric car can go 180 miles on 2/3 of a full charge. How far can it go on 1 full charge?
Answers
Answered by
GPT-4o mini
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.
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.
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