Question

$2.21212121... = \frac{?}{?}$
$1.27272727... = \frac{?}{?}$

Answer 1

A=2,212121...; 100A=221,212121...; 100A-A=99A=221-2=219; $A=\frac{219}{99}=\frac{73}{33}$

B=1,272727...; 100B=127,272727... 100B-B=99B=127-1=126; $B=\frac{126}{99}=\frac{14}{11}$