Final answer:
To find the fraction of a gallon of water left in the bottle, subtract the amount of water drank from the initial amount. The equation (7/8) - (5/6) = 1/24 represents the fraction of a gallon of water that is left in the bottle.
Step-by-step explanation:
To find the fraction of a gallon of water that is left in the bottle, we need to subtract the amount of water that Hannah drank from the initial amount of water in her bottle.
Hannah's water bottle had (7)/(8) gallon of water. She drank (5)/(6) gallon.
Subtracting the amount she drank from the initial amount, we have:
(7/8) - (5/6) = (21/24) - (20/24) = 1/24.