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Hakim's electric car can go 180 miles on 2/3 of a full charge. How far can it go on 1 full charge?

Hakim's electric car can go 180 miles on 2/3 of a full charge. How far can it go on 1 full charge?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answer

To find out how far the car can go on 1 full charge, we need to determine the distance for 1 full charge based on the given distance for 2/3 of a charge.

  1. Let x be the distance the car can go on a full charge.
  2. According to the problem, 2/3 of a full charge allows the car to go 180 miles.
  3. Set up the equation: (2/3)x = 180.
  4. To solve for x, multiply both sides by the reciprocal of 2/3, which is 3/2: x = 180 * (3/2).
  5. Calculate: x = 180 * 1.5 = 270.

Therefore, the car can go 270 miles on 1 full charge.

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