Girls are one-half of the fifth grade class.Two-tenths of these girls have red hair.Red haired girls are what fraction of the fifth grade class?

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

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To find the fraction of red-haired girls in the fifth grade class, we need to follow these steps:

Step 1: Determine the total number of girls in the fifth grade class.
Since girls make up one-half of the class, we need to find the half of the total class size.

For example, let's say there are 40 students in the fifth grade class. If girls make up half of the class, then there would be 40/2 = 20 girls in total.

Step 2: Calculate the number of red-haired girls.
Given that two-tenths (or 2/10) of the girls have red hair, we need to multiply this fraction by the total number of girls in the class.

Using our previous example, if there are 20 girls in the fifth grade class, and two-tenths of them have red hair, we would have 20 * (2/10) = 4 girls with red hair.

Step 3: Express the number of red-haired girls as a fraction of the entire fifth grade class.
Now that we know there are 4 girls with red hair, and there are 40 students in the whole class, we can express the fraction as 4/40.

However, it is always recommended to simplify fractions. In this case, both 4 and 40 can be divided by 4, resulting in 1/10. So, red-haired girls make up 1/10 of the fifth grade class.