Answer:
181.5 hours
Explanation:
Here is the complete question: For 22 days I worked 8 and 1/4 hours each day. How many hours did I work for this month?
Given: Each day, working hour is
![8(1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/18n0nhfhus606t7fsuwjfnfu1p8ghrh6v4.png)
Working day in a month= 22 days.
First converting working hours, from fraction to decimal.
![8(1)/(4) = (4* 8+1)/(4)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tw8u6oq1huljbn45pp0u8mtqz2a2cszdc2.png)
=
![(33)/(4)= 8.25\ hours](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6eicwuvahbgzez8jdubfgtlds8218dsbsd.png)
∴ working hours= 8.25 hours.
Now, calculating the number hours did he work in this month.
We know, he worked for 22 days in this month.
Number of hours in this month=
![22* 8.25\ h= 181.5\ hours](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fb912k0n7z2hk2siha46wj36rawcbpjlze.png)
Hence, 181.5 hours did he work for this month.