In a class ¹/⁴ of the pupils are girls. ²/5
of the girls are boarders and none of the boys are borders what fraction of the class re boarders
To find the fraction of the class that are boarders, we need to find the product of the fractions ¹/⁴ and ²/5.
¹/⁴ * ²/5 = ²/20 = ¹/10
Therefore, ¹/10 of the class are boarders.
To find out the fraction of the class that are boarders, we need to find the fraction of girls who are boarders and the fraction of boys who are boarders separately.
Given that 1/4 of the pupils are girls, and 2/5 of the girls are boarders, we can calculate the fraction of girls who are boarders as follows:
Fraction of girls who are boarders = (Fraction of girls) × (Fraction of girls who are boarders)
= (1/4) × (2/5)
= 2/20
= 1/10
Since none of the boys are boarders, the fraction of boys who are boarders is 0.
To find the overall fraction of the class who are boarders, we need to add the fraction of girls who are boarders and the fraction of boys who are boarders:
Overall fraction of the class who are boarders = (Fraction of girls who are boarders) + (Fraction of boys who are boarders)
= (1/10) + (0)
= 1/10
Therefore, 1/10 of the class are boarders.
To find the fraction of the class that are boarders, you need to multiply the fraction of girls in the class (1/4) by the fraction of girls who are boarders (2/5).
Step 1: Multiply 1/4 by 2/5.
(1/4) * (2/5)
Step 2: Simplify the fraction.
1 * 2 = 2
4 * 5 = 20
So, the fraction of the class that are boarders is 2/20.
Step 3: Simplify the fraction further if possible.
The fraction 2/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
2 ÷ 2 = 1
20 ÷ 2 = 10
So, the final simplified fraction is 1/10.
Therefore, 1/10 of the class are boarders.