In a radio program, 2/3 of the time is spent broadcasting music, 1/4 reading the news, 1/18 calling the public, and the rest on commercials. What fraction of the time is used in commercials?

To find the fraction of time used for commercials, we need to determine the remaining fraction after accounting for the time spent on music, news, and calling the public. Let's calculate the fraction of time spent on each activity: Fraction of time spent on music = 2/3 Fraction of time spent on news = 1/4 Fraction of time spent on calling the public = 1/18 To find the fraction of time used for commercials, we subtract the sum of the fractions spent on music, news, and calling the public from 1 (since the total time is represented by 1): Fraction of time used for commercials = 1 - (2/3 + 1/4 + 1/18) To simplify the calculation, we can find a common denominator for the fractions: Fraction of time used for commercials = 1 - [(24/36) + (9/36) + (2/36)] = 1 - (35/36) = (36/36) - (35/36) = 1/36 Therefore, the fraction of time used for commercials is 1/36.