Answer:
\(17\frac{1}{2}\) hours did you work.
Step-by-step explanation:
As per the statement:
You worked these hours this week:
\(1\frac{1}{2}\), \(2\frac{3}{4}\), \(3\frac{3}{4}\), 4, \(5\frac{1}{2}\)
Changed this mixed fraction into fraction:
we have;
\(\frac{3}{2}, \frac{11}{4}, \frac{15}{4}, 4, \frac{11}{2}\)
We have to find how many hours did you work.
\(\text{Total hours you work} = \frac{3}{2}+\frac{11}{4}+\frac{15}{4}+4+\frac{11}{2} = \frac{6+11+15+16+22}{4}\)
Simplify:
\(\text{Total hours you work} =\frac{70}{4} = \frac{35}{2} = 17\frac{1}{2}\) hours
Therefore, \(17\frac{1}{2}\) hours did you work.
