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Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.

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Answer :

skyluke89

Fraction of students left-handed: [tex]\frac{3}{25}[/tex]

There are more right-handed students

Step-by-step explanation:

To solve the problem, we call:

[tex]p(L)[/tex] the fraction of students in the class that are left-handed

[tex]p(R)[/tex] the fraction of students in the class that are right-handed

We know that:

[tex]p(L) = 12\%[/tex] is the fraction of students which are left-handed

we can convert this value into fractional form dividing by 100:

[tex]p(L)=\frac{12}{100}[/tex]

Simplifying by 4,

[tex]p(L)=\frac{3}{25}[/tex]

We also know that

[tex]p(L)+p(R)=1[/tex], because the fraction of students that are either left or right-handed must be 100%

Therefore, the fraction of students that are right-handed is

[tex]p(R)=1-p(L)=1-\frac{3}{25}=\frac{22}{25}[/tex]

Therefore, there are more right-handed than left-handed students.

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