By actual division show that :

(i) $\dfrac{11}{9} = 1.\overline{2}$

(ii) $\dfrac{43}{11} = 3.\overline{90}$

(iii) $\dfrac{107}{45} = 2.3\overline{7}$

(iv) $\dfrac{21}{55} = 0.3\overline{81}$

(i) On dividing,

$\dfrac{11}{9} = 1.222……$

Hence, proved that $\dfrac{11}{9} = 1.\overline{2}$.

(ii) On dividing,

$\dfrac{43}{11} = 3.9090…$

Hence, proved that $\dfrac{43}{11} = 3.\overline{90}$.

(iii) On dividing,

$\dfrac{107}{45} = 2.3777…$

Hence, proved that $\dfrac{107}{45} = 2.3\overline{7}$.

(iv) On dividing,

$\dfrac{21}{55} = 0.38181…$

Hence, proved that $\dfrac{21}{55} = 0.3\overline{81}$.