There are 150 students in the fifth grade in Washington Elementary School. 2/5 of the students like soccer best and 3/10 of them like basketball best. What fractions like soccer or basketball best?

The fraction of students who likes soccer or basketball is 7/10.

Step-by-step explanation:

In this case we have two groups of students, the group a is the one that prefers soccer, while the second group is the one that prefers basketball. We then need to find the fraction that represents the students that are in either group, in these cases we need to take the fractions of each group and sum them. So we have:

soccer OR basketball = soccer + basketball

soccer OR basketball = 2/5 + 3/10

Through LMC we have:

soccer OR basketball = (2*2 + 3) / 10 = (4 + 3) / 10 = 7/10

The fraction of students who likes soccer or basketball is 7/10.