Question

your school has organized the annual function. out of 36 students in your class 12 have participated in dance 10 have participated in music. rest of the students have not taken part. 1. what fraction of the total students have participated in dance? 2. what fraction of the total students have participated in music? 3. how many students have not participated at all. what is their fraction?​

Answer 1

Step-by-step explanation:

Given :

Total students = 36

Students participated in dance = 12

Students participated in Music = 10

To find :

• Fraction of students participated in dance
• Fraction of students participated in Music
• Fraction of students that didn't participate

Solution :

1) What fraction of the total students have participated in dance ?

Total students = 36

Students in dance = 12

$\sf{Fraction = \dfrac{Dance \: participants}{Total \: students}}$

$\sf{\longrightarrow} \: \dfrac{12}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{1}{3}$

Fraction of the students have participated in dance $\sf{\dfrac{1}{3}}$

$\rule{300}{1.5}$

2) What fraction of the total students have participated in music ?

Total students = 36

Students in dance = 10

$\sf{Fraction = \dfrac{Music\: participants}{Total \: students}}$

$\sf{\longrightarrow} \: \dfrac{10}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{5}{18}$

Fraction of the students have participated in music $\sf{\dfrac{5}{18}}$

$\rule{300}{1.5}$

3) How many students have not participated at all. What is their fraction?

Total students = 36

Students that didn't participate =

⇒ 36 - (12 + 10)

⇒ 36 - 22

⇒ 14

$\sf{Fraction = \dfrac{Non \: participants}{Total \: students}}$

$\sf{\longrightarrow} \: \dfrac{14}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{7}{18} \:$

Fraction of the non participants is $\sf{\dfrac{7}{18}}$

Answer 2

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