Answer :

Answer:

[tex]17\frac{1}{2}[/tex] hours did you work.

Step-by-step explanation:

As per the statement:

You worked these hours this week:

[tex]1\frac{1}{2}[/tex], [tex]2\frac{3}{4}[/tex], [tex]3\frac{3}{4}[/tex], 4, [tex]5\frac{1}{2}[/tex]

Changed this mixed fraction into fraction:

we have;

[tex]\frac{3}{2}, \frac{11}{4}, \frac{15}{4}, 4, \frac{11}{2}[/tex]

We have to find how many hours did you work.

[tex]\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}[/tex]

Simplify:

[tex]\text{Total hours you work} =\frac{70}{4} = \frac{35}{2} = 17\frac{1}{2}[/tex] hours

Therefore, [tex]17\frac{1}{2}[/tex] hours did you work.

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Rewritten by : Barada

You worked 17 1/2 hours in total.

Hope this helps! <3