Question

of all the students in the class 1\4 liketo plat basketball and another 1/10 like to play soccer.What fraction of the students in the class like either basketball and soccer?

Answer 1

To find the fraction of the students in the class that like either basketball and soccer, we have to sum

`(1)/(4)+(1)/(10)`

We use the following property

`(a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d)`

Let's do it

`(1)/(4)+(1)/(10)=(1\cdot10+4\cdot1)/(4\cdot10)=(10+4)/(40)=(14)/(40)=(7)/(20)`

This means 7/20 of the students like basketball OR soccer.

The complement of this fraction represents the students that like basketball AND soccer.

Hence, the answer is

`(13)/(20)`