Given,
The rational numbers are:
[tex](A)\frac{2}{3}\text{ }(B)\frac{5}{7}\text{ }(C)\frac{9}{11}\text{ }(D)\frac{118}{55}[/tex]The decimal representation is 2/3 is,
[tex]\frac{2}{3}=0.666666666[/tex]The decimal representation is 5/7 is,
[tex]\frac{5}{7}=0.714285714285[/tex]The decimal representation is 9/11 is,
[tex]\frac{9}{11}=0.818181818[/tex]The decimal representation is 118/55 is,
[tex]\frac{118}{55}=2.145454545[/tex]Hence, the periodic representation of the rational numbers is obtained.
