A television station has 28 new TV shows scheduled to air this week. What fraction of the television shows, in simplest form, are 30-minuet programs?

More data needed.

5/7

To find the fraction of 30-minute TV shows out of the 28 scheduled shows, you need to determine how many of those shows are 30 minutes long and express it as a fraction.

1. Count the number of 30-minute shows. Look at the list of 28 scheduled TV shows and identify the ones that have a duration of 30 minutes. Let's say you find 8 shows that are 30 minutes long.

2. Express the count as a fraction. To find the fraction, divide the number of 30-minute shows (8) by the total number of shows (28). The fraction would be 8/28.

3. Simplify the fraction. To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, both 8 and 28 are divisible by 4. So, dividing both by 4, the simplified fraction becomes 2/7.

Therefore, the fraction of 30-minute TV shows out of the 28 scheduled shows is 2/7.