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?

Question

asked Jan 15, 2019 95.2k views

1 Answer

Jim Ierley · Answer 1 · 2019-01-20T14:49:51+0000

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

$(11)/(34)\text{ hours}$

Explanation:

Since we have given that

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

$8(1)/(2)\text{ hours}=(17)/(2)\text{ hours}$

Total hours she worked on her first day is given by

$2(3)/(4)\text{ hours }=(11)/(4)\text{ hours }$

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

Now, according to question, we have,

$x* (17)/(2)=(11)/(4)\\\\x=(11)/(4)* (2)/(17)\\\\x=(11)/(34)\text{ hours}$

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

$(11)/(34)\text{ hours}$