Question

hakims 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. miles

Explanation:

Step1: Set up the proportion

Let $x$ be the number of miles on a full - charge. We know that 180 miles is to $\frac{2}{3}$ of a charge as $x$ miles is to 1 full charge. So the proportion is $\frac{180}{\frac{2}{3}}=\frac{x}{1}$.

Step2: Solve for $x$

To solve for $x$, we use the rule that dividing by a fraction is the same as multiplying by its reciprocal. So $x = 180\div\frac{2}{3}=180\times\frac{3}{2}$.
$180\times\frac{3}{2}=\frac{180\times3}{2}=\frac{540}{2}=270$.

Answer:

270