Kelly babysits for 5 5/6 hours on the weekend. this is 2 1/12 hours more than she babysits during the week how many hours does she babysit during the week? show work

She had baby sit for hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.

Step-by-step explanation:

Given:

kelly babysits for 5 5/6 hours on the weekend.

5 5/6 can be rewritten as

This is 2 1/12 hours more than she babysits during the week.

2 1/12 hours can be rewritten as

Let the number of hours she works in week be x;

Hence the expression can be given as;

Now Solving for x we get;

Now making the denominator common we get;

She had baby sit for hrs OR 3 9/12 hrs OR 3 hours and 45 mins during the week.

During the week she babysits 3 3/4 hours

Step-by-step explanation:

Let's call x: the number of hours that she babysits during the week.

5 5/6 hours represents 2 1/12 hours more than she babysits during the week.

Therefore:

x + 2 1/12 = 5 5/6

x = 5 5/6 - 2 1/12

5 5/6 can be rewritten as (6*5 + 5)/6 = 35/6

2 1/12 can be rewritten as (12*2 +1)/12 = 25/12

Replacing:

x = 35/6 - 25/12

12 is multiple of  both denominators, 6 and 12, then the subtraction will have 12 as denominator.

x = [35*(12/6) - 25*(12/12)]/12

x = (70 - 25)/12

x = 45/12 or 3 3/4

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