Which is the rational number having the decimal expansion `0.3 bar( 56) ` ?

Explanation

Let` y=0.3 bar( 56)`

`=>logy=3.565656...`

`=>logy=3+.565656...`

`=>logy=3+56(0.010101...)`

`=>logy=3+56(1/(100)+1/(1000)+...)`

we now sum of infinte terms is `a/(a-r)`

here`a=r=1/(100)`
so,

...