Questions: In a class with 28 students, there are 19 boys. What is the ratio of girls to boys? Answer in simplest form.
Transcript text: In a class with 28 students, there are 19 boys. What is the ratio of girls to boys? Answer in simplest form.
Solution
Solution Steps
To find the ratio of girls to boys, first determine the number of girls by subtracting the number of boys from the total number of students. Then, express the ratio of girls to boys and simplify it to its simplest form.
Step 1: Determine the Number of Girls
The total number of students in the class is \( 28 \), and the number of boys is \( 19 \). Therefore, the number of girls can be calculated as:
\[
\text{girls} = \text{total students} - \text{boys} = 28 - 19 = 9
\]
Step 2: Calculate the Ratio of Girls to Boys
The ratio of girls to boys is given by:
\[
\text{ratio} = \frac{\text{girls}}{\text{boys}} = \frac{9}{19}
\]
Step 3: Simplify the Ratio
The ratio \( \frac{9}{19} \) is already in its simplest form, as \( 9 \) and \( 19 \) have no common factors other than \( 1 \).
Final Answer
The ratio of girls to boys in simplest form is \\(\boxed{\frac{9}{19}}\\).