A 15-minute TV program consists of one commercial of 1 1/4 minutes long, and two equal-lenght entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction.

Each segment is 6 7/8 minutes long.

Step-by-step explanation:

Let the equal-length entertainment segments be a variable x. You know there is a commercial that is 1 1/4 minutes long and there are two segments of the program and all of this adds up to 15 minutes. So solving the equation 1 1/4 + 2x = 15 will give you your answer. From there you'll use your algebra skills to solve the equation

1 1/4 + 2x = 15

2x = 13 3/4

x = 6 7/8