Question

Carter is watching a movie that has a running time of 2 (1/2) hours. Carter has watched 3/4 of the movie.

Part A Write an expression to find how many hours Carter has watched.
Part B How much of the movie, in hours, has Carter watched?

Answer 1

To determine how many hours Carter has watched the movie, first write the expression (5/2) × (3/4), then perform the multiplication to get 15/8 hours or 1 7/8 hours. Carter has watched 1 7/8 hours of the movie.

Step-by-step explanation:

Part A - Writing an Expression

To find out how many hours Carter has watched the movie, you can write an expression by multiplying the total duration of the movie by the fraction of the movie watched. The total duration of the movie is 2 (1/2) hours, which can also be written as 5/2 hours. Since Carter has watched 3/4 of the movie, the expression would be (5/2) hours × (3/4).

Part B - Calculating Watched Hours

To calculate the actual hours Carter has watched, you'll need to perform the multiplication:
(5/2) × (3/4) = (5 × 3) / (2 × 4) = 15/8 hours. To convert this into mixed numbers, you divide 15 by 8, which equals 1 with a remainder of 7. Therefore, Carter has watched 1 7/8 hours of the movie.