Final answer:
The swimming pool is leaking at a rate of 1 3/4 gallons per hour.
Step-by-step explanation:
To find out how many gallons of water per hour the swimming pool is leaking, we need to divide the amount of water leaked (7/8 gallon) by the time it took (1/2 hour).
Dividing 7/8 by 1/2 is the same as multiplying 7/8 by 2/1 (the reciprocal of 1/2). Multiplying the fractions gives us (7/8) x (2/1) = 14/8 = 7/4 = 1 3/4 gallons per hour.
The swimming pool is leaking at a rate of 1 3/4 gallons per hour.