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26 October, 07:54

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?

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  1. 26 October, 09:24
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    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
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