Question

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

Answer 1

`3(3)/(4)` hours

Explanation:

Kelly babysits
`=5 (5)/(6)` hours on the weekend.

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

To find how many hours she babysits during the week, simply subtract:

`5(5)/(6)-2(1)/(12)\\ \\=3(5)/(6)-(1)/(12)\ [\text{Subtract the whole parts}]\\ \\=3(10)/(12)-(1)/(12)\ \[\text{Convert first fraction to have the denominator of 12}]\\ \\=3(9)/(12)\ \ [\text{Subtract fractions with the same denominateors subtracting their numerators}]\\ \\=3(3)/(4)\ \ [\text{Simplify fraction dividing the numerator and the denominator by 3}]`