In middle school computer club, 3/8 of the members are girls. Of the girls in the club, 2/5 are 6th-graders. Write and solve an equation to find the fraction of the members of the club that are 6th-grade girls.
number of club members --- x
girls ---- 3x/8
number of 6th grader girls = (2/5)(3x/8)
= 3x/20
fraction of 6th grade girls
= (3x/20) / x
= 3/20
Let's break down the problem step by step:
Step 1: Find the fraction of girls in the club
We are told that 3/8 of the members in the computer club are girls. Therefore, the fraction of girls in the club is 3/8.
Step 2: Find the fraction of 6th-grade girls among the girls in the club
Among the girls in the club, 2/5 are 6th-graders. Therefore, the fraction of 6th-grade girls among the girls in the club is 2/5.
Step 3: Find the fraction of 6th-grade girls among all the members of the club
To find this fraction, we need to multiply the fraction of girls in the club (3/8) by the fraction of 6th-grade girls among the girls in the club (2/5).
(3/8) * (2/5) = 6/40 = 3/20
Therefore, the fraction of members of the club who are 6th-grade girls is 3/20.
To solve this problem, we need to find the fraction of the members that are 6th-grade girls. Let's break down the problem step by step:
1. First, we need to find the fraction of girls in the club. We are told that 3/8 of the club members are girls. So the fraction of girls in the club is 3/8.
2. Next, we need to find the fraction of girls who are 6th-graders. We are told that 2/5 of the girls in the club are 6th-graders. So the fraction of girls who are 6th-graders is 2/5.
3. To find the fraction of the members of the club that are 6th-grade girls, we need to multiply the fraction of girls in the club (3/8) by the fraction of girls who are 6th-graders (2/5).
Fraction of 6th-grade girls = (Fraction of girls) * (Fraction of 6th-grade girls)
= (3/8) * (2/5)
= 6/40
4. Simplifying the fraction 6/40, we get 3/20.
Therefore, the fraction of the members of the club that are 6th-grade girls is 3/20.