Answer:
\(29\frac{1}{2}\) hours
Step-by-step explanation:
You worked \(16\frac{3}{4}\) hours in past two days and plan to work \(12\frac{3}{4}\) hours in next two days.
So total work done in 4 days will be
= ( \(16\frac{3}{4}\) + \(12\frac{3}{4}\) ) hours
Now we will simplify the fractions.
Total hours = \([\frac{(16\times4)+3}{4}+\frac{(12\times4)+3}{4}]\)
= \(\frac{(64+3)}{4}+\frac{(48+3)}{4}\)
= \(\frac{67}{4}\) + \(\frac{51}{4}\)
= \(\frac{67+51}{4}\)
= \(\frac{118}{4}\)
= \(\frac{59}{2}\)
= \(29\frac{1}{2}\) hours
You would work \(29\frac{1}{2}\) hours for these 4 days
