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$The table shows the number of middle school students participating in a science fair. Science Fair Participants Grade Number of Students 6 11 7 16 8 17 What is the ratio of seventh graders to total students? Express your answer as a fraction in simplest form.$

The table shows the number of middle school students participating in a science fair. $\newline$ \begin{tabular}{|c|c|} $\newline$ \hline \multicolumn{ $2$ }{|c|}{ Science Fair Participants } \\ $\newline$ \hline Grade & Number of Students \\ $\newline$ \hline $6$ & $11$ \\ $\newline$ \hline $7$ & $16$ \\ $\newline$ \hline $8$ & $17$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ What is the ratio of seventh graders to total students? Express your answer as a fraction in simplest form.

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Theoretical probability

Full solution

Q. The table shows the number of middle school students participating in a science fair.

\newline

\begin{tabular}{|c|c|}

\newline

\hline \multicolumn{

2

}{|c|}{ Science Fair Participants } \\

\newline

\hline Grade & Number of Students \\

\newline

\hline

6

&

11

\\

\newline

\hline

7

&

16

\\

\newline

\hline

8

&

17

\\

\newline

\hline

\newline

\end{tabular}

\newline

What is the ratio of seventh graders to total students? Express your answer as a fraction in simplest form.

Calculate Total Students: Calculate the total number of students by adding the number of students from each grade. $\newline$ Total students = $6^{\text{th}}$ graders + $7^{\text{th}}$ graders + $8^{\text{th}}$ graders $\newline$ Total students = $11 + 16 + 17$
Perform Addition: Perform the addition to find the total number of students. $\newline$ Total students = $44$
Find Seventh Graders: Find the number of seventh graders from the table. $\newline$ Number of $7^{\text{th}}$ graders = $16$
Calculate Ratio: Calculate the ratio of seventh graders to total students. $\newline$ Ratio = Number of $7$ th graders / Total students $\newline$ Ratio = $\frac{16}{44}$
Simplify Fraction: Simplify the fraction to its simplest form. Ratio = $\frac{4}{11}$

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