You can
put this solution on YOUR website!The number 0.757575... is
and 0.767676... is
.
You can figure out 0.757575... as a fraction because
if n=0.757575... , then 100n=75.757575... and subtracting one equation from the other, you get
100n-n=75 --> (100-1)n=75 --> 99n=75 -->
You can figure out that 0.767676... =
similarly.
You can choose an integer m between
and
(
),
and then
will be an irrational number between 0.757575... and 0.767676... because
0.757575... =
= 0.767676...
