Question

Jazmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?

Answer 1

`2(7)/(12)` hours

Explanation:

We have been given Jazmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday.

To find the time Jazmyne needs more to reach her goal, we will subtract the sum of time spent on studying on Friday and Saturday from total time as:

`6(1)/(2)-(1(1)/(4)+2(2)/(3))`

Convert mixed fraction into improper fraction:

`6(1)/(2)\Rightarrow (6* 2+1)/(2)=(12+1)/(2)=(13)/(2)`

`1(1)/(4)\Rightarrow (1* 4+1)/(4)=(4+1)/(4)=(5)/(4)`

`2(2)/(3)\Rightarrow (2* 3+2)/(3)=(6+2)/(3)=(8)/(3)`

`6(1)/(2)-(1(1)/(4)+2(2)/(3))\Rightarrow (13)/(2)-((5)/(4)+(8)/(3))`

Make a common denominator

`(13*6)/(2*6)-((5*3)/(4*3)+(8*4)/(3*4))`

`(78)/(12)-((15)/(12)+(32)/(12))`

Combine numerators:

`(78)/(12)-((15+32)/(12))`

`(78)/(12)-(47)/(12)`

`(78-47)/(12)`

`(31)/(12)`

`2(7)/(12)`

Therefore,Jazmyne needs to spend
`2(7)/(12)` hours studying on Sunday in order to reach her goal.