Vera estimates that it will take her 16 2/3 hours to complete a project. she spent 4 1/6 hours working on the project. what fraction of the time needed to complete the project?

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