In a class ¹/⁴ of the pupils are girls. ³/⁴ of the girls are boarders and none of the boys are borders what fraction of the class re boarders
To solve this problem, we need to find the fraction of students who are boarders.
Let's say there are a total of x students in the class.
Given that 1/4 of the pupils are girls, this means that (1/4)x students are girls.
Of these girls, 3/4 are boarders, so the number of girl boarders is (3/4)(1/4)x = (3/16)x.
Since none of the boys are boarders, the number of boy boarders is 0.
Therefore, the total number of boarders in the class is (3/16)x + 0 = (3/16)x.
So, the fraction of the class that are boarders is (3/16)x / x = 3/16.
Thus, 3/16 of the class are boarders.
To find the fraction of the class that are boarders, we need to multiply the fraction of girls in the class (1/4) by the fraction of girls who are boarders (3/4). Since none of the boys are boarders, we don't need to consider them in this calculation.
Here's how we can calculate it step by step:
Step 1: Find the fraction of girls who are boarders.
Fraction of girls who are boarders = (Fraction of girls) × (Fraction of girls who are boarders)
= (1/4) × (3/4)
= 3/16
Step 2: Find the fraction of the class who are boarders.
Fraction of class who are boarders = Fraction of girls who are boarders
= 3/16
Therefore, the fraction of the class who are boarders is 3/16.
To find the fraction of the class that are boarders, we need to determine the total fraction of girls who are boarders and the total fraction of boys who are boarders, and then add them together.
Step 1: Determine the fraction of girls who are boarders
Since 3/4 of the girls are boarders, and 1/4 of the class are girls, we can calculate the fraction of girls who are boarders by multiplying these two fractions: (3/4) * (1/4) = 3/16.
Step 2: Determine the fraction of boys who are boarders
Since none of the boys are boarders, the fraction of boys who are boarders is 0.
Step 3: Add the fractions for girls and boys who are boarders
Since the fraction of boys who are boarders is 0, we can add 3/16 to 0: 3/16 + 0 = 3/16.
Therefore, the fraction of the class that are boarders is 3/16.