(i) Let x = bar 0.4

Now, x = bar 0.4 = 0.444.... ---(1)

Multiplying both sides of equation (1) by 10, we get,

10x = 4.444.... --- (2)

Subtracting equation (1) by (2)

10x - x = 4.444... -0.444...

=> 9x = 4

=> x = 4/9

Hence, bar 0.4 = 4/9

(ii) Let x = bar 0.37

Now, x = 0.3737... .....(1)

Multiplying equation (1) by l0.

10x = 3.737.... .......(2)

100 37.3737... ........(3)

Subtracting equation (1) by equation (3)

100x - x = 37

=> 99 x = 37

=> x = 37/ 99

Hence,bar 0.37 = 37/ 99