contestada

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?

Respuesta :

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

[tex]\frac{1}{4}+\frac{1}{10}[/tex]

We use the following property

[tex]\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

Let's do it

[tex]\frac{1}{4}+\frac{1}{10}=\frac{1\cdot10+4\cdot1}{4\cdot10}=\frac{10+4}{40}=\frac{14}{40}=\frac{7}{20}[/tex]

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

[tex]\frac{13}{20}[/tex]

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