Express each of the following decimals in the form :

(i) (ii)

(i)

Now x =

= 0.5454… (i)

Multiplying both sides of equation (i) by 100, we get

100x = 54.5454…. (ii)

Subtracting (i) by (ii), we get

100x – x = 54.5454…. – 0.5454….

99x = 54

(ii)

Now

= 0.621621…. (i)

Multiplying both sides by 1000, we get

1000x = 621.621621…. (ii)

Subtracting (i) by (ii), we get

1000x – x = 621.621621…. – 0.621621….

999x = 621