Questions: In a class with 28 students, there are 19 boys. What is the ratio of girls to boys? Answer in simplest form.

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.
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Solution

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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}}\\).

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