Answer:
The fraction of time needed to complete the project=12 1/2 hours
Step-by-step explanation:
The total amount of time to finish the project can be expressed as;
T=W+R
where;
T=total amount of time needed to complete the project
W=amount of time spent working on the project
R=remaining time needed to complete the project
This can also be expressed as;
total amount of time needed to complete the project=(amount of time spent working on the project+remaining time needed to complete the project)
In our case;
T=16 2/3 hours
W=4 1/6 hours
R=unknown=r
replacing;
16 2/3=4 1/6+r
r=16 2/3-4 1/6
r=(50/3)-(25/6)=12 1/2 hours
The fraction of time needed to complete the project=12 1/2 hours