Answer: The fraction of total time she worked on her first day is given by
[tex]\frac{11}{34}\text{ hours}[/tex]
Step-by-step explanation:
Since we have given that
Total hours Jessica worked at the local soup kitchen is given by
[tex]8\frac{1}{2}\text{ hours}=\frac{17}{2}\text{ hours}[/tex]
Total hours she worked on her first day is given by
[tex]2\frac{3}{4}\text{ hours }=\frac{11}{4}\text{ hours }[/tex]
Let the fraction of total time she worked on first day be x
Now, according to question, we have,
[tex]x\times \frac{17}{2}=\frac{11}{4}\\\\x=\frac{11}{4}\times \frac{2}{17}\\\\x=\frac{11}{34}\text{ hours}[/tex]
So, the fraction of total time she worked on her first day is given by
[tex]\frac{11}{34}\text{ hours}[/tex]