You worked 16 3/4 hours in the past two days and plan to work 12 3/4 hours in the next two days. How many hours will you total on your time sheet for these 4 days?.

Respuesta :

In 4 days you will work 29 1/2 hours. I hope I helped 

Answer:

[tex]29\frac{1}{2}[/tex] hours

Step-by-step explanation:

You worked [tex]16\frac{3}{4}[/tex] hours in past two days and plan to work [tex]12\frac{3}{4}[/tex]  hours in next two days.

So total work done in 4 days will be

= ( [tex]16\frac{3}{4}[/tex] + [tex]12\frac{3}{4}[/tex] ) hours

Now we will simplify the fractions.

Total hours = [tex][\frac{(16\times4)+3}{4}+\frac{(12\times4)+3}{4}][/tex]

                  = [tex]\frac{(64+3)}{4}+\frac{(48+3)}{4}[/tex]

                  = [tex]\frac{67}{4}[/tex]  + [tex]\frac{51}{4}[/tex]

                 = [tex]\frac{67+51}{4}[/tex]

                 = [tex]\frac{118}{4}[/tex]

                 = [tex]\frac{59}{2}[/tex]

                  = [tex]29\frac{1}{2}[/tex] hours

You would work [tex]29\frac{1}{2}[/tex] hours for these 4 days