0.72 repeating as a fraction in simplest form.
.72 would be 72/100
if repeating 72/99
always create the non repeating and subtract 1 from the denom.
now reduce 72/99 to 8/11
8/11
The answer is 8/11
let 0.727272= x
7.272727= 10x
72.727272= 100x
subtract the equations with the same digits after the decimal point
72.727272= 100x
-
0.727272= x
the answer is 72.0000= 99x
which gives 72/99
=8/11