SOLUTION: find an irratational number between .757575... and .767676...

Question 632433: find an irratational number between .757575... and .767676...
Answer by KMST(5400) (Show Source): 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...