Q:

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?​

Accepted Solution

A:
Answer:The fraction of time needed to complete the project=12 1/2 hoursStep-by-step explanation:The total amount of time to finish the project can be expressed as;T=W+Rwhere;T=total amount of time needed to complete the projectW=amount of time spent working on the projectR=remaining time needed to complete the projectThis 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 hoursW=4 1/6 hoursR=unknown=rreplacing;16 2/3=4 1/6+rr=16 2/3-4 1/6r=(50/3)-(25/6)=12 1/2 hoursThe fraction of time needed to complete the project=12 1/2 hours