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The sixth-graders at Ruth's school got to visit either the science museum or the history museum. 17 students picked the science museum and 24 students picked the history museum. What is the ratio of the number of sixth-graders who visited the science museum to the total number of sixth-graders?

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To find the ratio of the number of sixth-graders who visited the science museum to the total number of sixth-graders, we follow these steps:

  1. Identify the number of students who visited the science museum:

    • Number of students who picked the science museum = 17

  2. Identify the number of students who visited the history museum:

    • Number of students who picked the history museum = 24

  3. Calculate the total number of sixth-graders: \[ \text{Total students} = \text{Students at science museum} + \text{Students at history museum} = 17 + 24 = 41 \]

  4. Find the ratio of the number of students who visited the science museum to the total number of sixth-graders: \[ \text{Ratio} = \frac{\text{Number of students at science museum}}{\text{Total number of sixth-graders}} = \frac{17}{41} \]

Thus, the ratio of the number of sixth-graders who visited the science museum to the total number of sixth-graders is \( \frac{17}{41} \).