(Originais Teachy 2023) - Question Medium of Mathematics

In a school, there are two teachers who organize math study groups. One teacher organizes groups every 6 days and the other every 8 days. Today, both organized a group simultaneously and intend to do so again in the future. a) Calculate the Least Common Multiple (LCM) between 6 and 8, to find out how many days will be needed for both to organize the next groups simultaneously. b) In one of the next simultaneous meetings, there will be a special class on fractions. The students will receive two types of cookies, with the ratio of 1/6 and 1/8 representing the quantity of each type of cookie per student, respectively. Determine the LCM of the fractions so that all students receive the same amount of each type of cookie. c) What will be the ratio of cookies that each student will receive in the simultaneous meeting?