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

step-by-step explanation:

try remembering the steps

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: