Question

Jessica worked a total of 8 1/2 hours at the local soup kitchen. She worked 2 3/4 hours on her first day. What fraction of the total time did jessica work that first day?

Answer 1

Answer: The fraction of total time she worked on her first day is given by

$\frac{11}{34}\text{ hours}$

Step-by-step explanation:

Since we have given that

Total hours Jessica worked at the local soup kitchen is given by

$8\frac{1}{2}\text{ hours}=\frac{17}{2}\text{ hours}$

Total hours she worked on her first day is given by

$2\frac{3}{4}\text{ hours }=\frac{11}{4}\text{ hours }$

Let the fraction of total time she worked on first day be x

Now, according to question, we have,

$x\times \frac{17}{2}=\frac{11}{4}\\\\x=\frac{11}{4}\times \frac{2}{17}\\\\x=\frac{11}{34}\text{ hours}$

So, the fraction of total time she worked on her first day is given by

$\frac{11}{34}\text{ hours}$