girls are 1 half of the 5 grade class two tenths of these girls have red hair.red haired girls are what fraction of the 5 rade

(2/10) * (1/2) = 2/20 = 1/10

To find the fraction of red-haired girls in the 5th grade class, we need to follow a few steps:

Step 1: Determine the total number of girls in the 5th grade class.
According to the information given, girls make up half of the 5th grade class. So, to find the total number of girls, we need to multiply the total number of students by one-half.

Step 2: Calculate the number of girls with red hair.
It is mentioned that two-tenths of the girls have red hair. To find the total number of red-haired girls, we need to multiply the number of girls in the 5th grade class (found in Step 1) by two-tenths.

Step 3: Express the number of red-haired girls as a fraction of the entire 5th grade class.
To find the fraction, we need to divide the number of red-haired girls (calculated in Step 2) by the total number of students in the 5th grade class.

Let's put these steps into action:

Step 1: If we assume the total number of students in the 5th grade class is 'x', then the number of girls would be (1/2) * x.

Step 2: The number of girls with red hair would be (2/10) * [(1/2) * x].

Step 3: To express the number of red-haired girls as a fraction of the entire 5th grade class, we divide the number of red-haired girls by the total number of students: [(2/10) * (1/2) * x] / x.

After simplifying, the fraction of red-haired girls in the 5th grade class is 1/10.