Given the rational number below
[tex]\frac{9}{11}[/tex]
We will use long division to convert it to decimal
From the above long division, the result is as shown below
[tex]\frac{9}{11}=0.81818\ldots[/tex]
It can be observed that the result is a recurring decimal. converting the answer to the nearest hundredth will give us
[tex]\frac{9}{11}=0.81818\ldots\approx0.82(nearest\text{ hundredth)}[/tex]
Hence, the conversion to the nearest hundredth gives 0.82
