Answer:
156 students voted for Nyemi,78 students voted for Luke,26 students voted for Natalie
Explanation:
Hello, I think I can help you with this
the fraction of votes indicates a proportion of the votes received with respect to the possible votes, for example for luke: 3 out of ten votes went to him, the easiest way to find the total number of students is to make the product of the fraction by the total number of students,
Number of votes=total students*fraction of votes
Step 1
Nyemi
![Number\ of\ votes=total\ students*fraction\ of\ votes\\Number\ of\ votes=260*(3)/(5) \\Number\ of\ votes=(780)/(5) \\Number\ of\ votes=156\\](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m4xzkbq8h6m7tjidumhgh01jgs7bovdpwa.png)
156 students voted for Nyemi
Step 2
Luke
![Number\ of\ votes=total\ students*fraction\ of\ votes\\Number\ of\ votes=260*(3)/(10) \\Number\ of\ votes=(780)/(10) \\Number\ of\ votes=78\\](https://img.qammunity.org/2019/formulas/mathematics/middle-school/syxek7kxa8t0hynkbdq29b8ftmoofxbt6j.png)
78 students voted for Luke
Step 3
Natalie
![Number\ of\ votes=total\ students*fraction\ of\ votes\\Number\ of\ votes=260*(1)/(10) \\Number\ of\ votes=(260)/(10) \\Number\ of\ votes=26\\](https://img.qammunity.org/2019/formulas/mathematics/middle-school/b6lz7xn0u6eyg6sgy0gbjk463hgywwaefy.png)
26 students voted for Natalie
Have a great day.