How do you find the fraction of a class if there are 14 boys and 10 girls

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ishpiro's profile pic

ishpiro | College Teacher | (Level 1) Educator

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If there are 14 boys and 10 girls in a class, the ratio of boys to girls is

14 : 10 = 7 : 5

The total number of students in a class would be 14 + 10 = 24.

Then, the fraction of boys in a class is `14/24 = 7/12.`

The fraction of girls in a class is `10/24 = 5/12.`

In other words, the ratio of boys to girls is 7:5, the ratio of boys to all students is 7:12 and the ratio of girls to all students is 5:12.

rachellopez's profile pic

rachellopez | Student, Grade 12 | (Level 1) Valedictorian

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If you are looking for the fraction, or ratio, of boys to girls in the classroom it would be 14:10 or 14/10. However, you are looking for the fractions that compare the number of boys and girls to the whole class, you will need to separate fractions.

14 boys / 24 total students = 7/12 boys

10 girls / 24 total students = 5/12 girls 

acompanioninthetardis's profile pic

acompanioninthetardis | Student, Undergraduate | (Level 1) Valedictorian

Posted on

14 and 10

14/10 would be the ratio of boys to girls

24 students in total so the fraction of boys in the class:14/24 simplified to 7/12

fraction of girls in the class:10/24 simplified to 5/12

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nisarg | Student, Grade 11 | (Level 1) Valedictorian

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14 boys

10 girls

14/24=7/12 boys to entire class

10/24=5/12 girls to entire class

14/10=7/5 boys to girls

10/14=5/7 girls to boys

zumba96's profile pic

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

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Well 14 and 10 are both divisible by 2, find the LCM first and since it is 2 divide by 2

14/2=7 10/2=5 therefore there are 7boys:5girls or 7:5

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

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14  and 10 are both divisible by 2 so their simple form are

7 and 5

if you add 14 and 10 to get the total number of students you end up with 24.

24 is also divisible by 2 and you end up with 12. The fraction form will be

`7/(12)` for boys and `5/(12)` for the girls.

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sid-sarfraz | Student, Graduate | (Level 2) Salutatorian

Posted on

How do you find the fraction of a class if there are 14 boys and 10 girls?

QUESTION:-

Total Boys = 14

Total Girls = 10

Total students in class = 14 + 10 = 24

Fraction of boys in the class = ?

Fraction of Girls in the class = ?

SOLUTION:-

Fraction of boys in class = 14/24

                                   = 7/12

Fraction of boys in class = 7 : 12 

Fraction of girls in class = 10/24

                                  = 5/12

Fraction of girls in class = 5 : 12

Hence Solved....

Therefore, 

Fraction of boys in class = 7:12

Fraction of girls in class = 5:12

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