(4) x=2.\(\overline{36}\) = 2.3636..
⟹100x=236.3636..
⟹100x− x = 236.3636..−2.3636..
(5) Consider x as \(0. \overline{38}\) and y as \(1. \overline{27}\)
Taking x = \(0. \overline{38}\)
x=0.3838 ........(1)
100x=38.3838 .......(2)
On subtraction we obtain
99x = 38
On further calculation
\(x=\frac{38}{99}\)
Taking y = \(1. \overline{27}\)
y=1.2727 ........(1)
100y=127.2727 ...........(2)
By subtracting
99y=126
On further calculation
So we get
\(0.\overline{38}+1.\overline{27}=\frac{164}{99}\)
