Question

Ryan spends 10 1/2 hours at work each day. He has 3/4 hour lunch and receives two 1/4 breaks. How much time does Ryan spend working? Remember you can write a equivalent fraction for 10 1/2.

Answer 1

`9(1)/(4)\ hours`

Explanation:

Let

h-----> the time that Ryan spend working

Remember that

`10(1)/(2)\ h=(10*2+1)/(2)=(21)/(2)\ h`

we know that

The equation that represent the situation is

`(21)/(2)=h+(3)/(4)+2((1)/(4))`

`(21)/(2)=h+(3)/(4)+(2)/(4)`

`(21)/(2)=h+(5)/(4)`

`h=(21)/(2)-(5)/(4)`

`h=(37)/(4)=9.25\ hours`

Convert to a mixed number

`h=9(1)/(4)\ hours`