Final answer:
To find the total amount of crown molding Greg will install in the room, the lengths of both walls (11 3/4 feet and 13 7/8 feet) are added together, resulting in a total of 25 5/8 feet.
Step-by-step explanation:
The question involves calculating the total amount of crown molding required for two walls of different lengths. The length of the first wall is given as 11 3/4 feet and the second wall as 13 7/8 feet. To find the total crown molding Greg will install, we need to add these two lengths together.
First, convert the fractions to have a common denominator:
11 3/4 feet can be written as 11 6/8 feet (by multiplying both numerator and denominator by 2).
Now, add the lengths of both walls:
11 6/8 feet + 13 7/8 feet = (11+13) +(6+7)/8 feet
= 24 feet + 13/8 feet
Since 13 is 8+5, this is equal to 24 feet + 1 5/8 feet = 25 5/8 feet.
The correct option is C) 25 5/8 feet.