Final answer:
Becca began with 5/8 of a tank of gas and used 1/3 of a tank. After converting both fractions to have a common denominator of 24, she used 8/24 and was left with 7/24 of a tank.
Step-by-step explanation:
Becca started her journey with 5/8 of a tank of gas. To calculate the amount of gas left after using 1/3 of a tank, we subtract the used gas from the initial amount.
Initial gas: 5/8 tank
Used gas: 1/3 tank
Convert 5/8 to 24ths (which is also the least common denominator for 8 and 3):
5/8 = 15/24 tank
Now, convert 1/3 to 24ths:
1/3 = 8/24 tank
Subtract the used gas from the initial gas:
15/24 tank - 8/24 tank = 7/24 tank
Therefore, Becca has 7/24 of a tank of gas left in her car.