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

`(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}`