How do you convert 0.36 (36 repeating) to a fraction?

1 Answer
Oct 1, 2016

Answer:

#0.363636363636..................=4/11#

Explanation:

Le #x=0.363636363636..................#

Now as there are two digits repeating immediately after decimal point, we multiply above by #100# and get

#100x=36.363636363636..................#

Now subtracting first equation from second we get

#99x=36# and hence #x=36/99=(9xx4)/(9xx11)=4/11#