If 1/4 of a group of students have math homework and 1/5 have science homework, what is the least number of students in the group

Question

If 1/4 of a group of students have math homework and 1/5 have science homework, what is the least number of students in the group

Answer 1

Hi, Ayan.

 

The group must be able to be divided by both 4 and 5 in order to have 1/4 and 1/5 of its group be whole numbers.

The LCM (least common multiple) is 20. There must be at least 20 people in the group , so that 1/4 would be 5 people and 1/5 would be 4 people.