Question

1. a gas tank holds exactly 13 gallons. if the tank is $\frac{2}{3}$ empty, how many gallons remain in the tank?

$5\frac{1}{2}$
$8\frac{2}{3}$
$6\frac{1}{2}$
$4\frac{1}{3}$

Explanation:

Step1: Find the fraction of full - tank

If the tank is $\frac{2}{3}$ empty, then the fraction of the tank that is full is $1-\frac{2}{3}=\frac{1}{3}$.

Step2: Calculate the amount of gas remaining

The tank's capacity is 13 gallons. To find the amount of gas remaining, we multiply the capacity by the fraction of the tank that is full. So, the amount of gas remaining is $13\times\frac{1}{3}=\frac{13}{3}=4\frac{1}{3}$ gallons.

Answer:

$4\frac{1}{3}$