Question

helenas electric car can go 180 miles on \\(\frac{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. \\(\square\\) miles

Explanation:

Step1: Define the relationship

Let \( x \) be the distance for 1 full charge. We know that \( \frac{2}{3}x = 180 \).

Step2: Solve for \( x \)

To find \( x \), divide both sides by \( \frac{2}{3} \), which is the same as multiplying by \( \frac{3}{2} \). So \( x = 180\times\frac{3}{2} \).

Step3: Calculate the value

\( 180\times\frac{3}{2}=\frac{180\times3}{2}=\frac{540}{2} = 270 \).

Answer:

270