How to write a recurring decimal 0.17 (7 is recurring) as fraction?

1 Answer
Sep 27, 2017

8/45

Explanation:

one approach is algebraically

x=0.177777.....

because one digit recurs multiply by 10 na dthen follow the method below

10x=1.7color(red)(77777777...)

x=0.1color(red)(7777777...)

subtract, the term is red cancel

9x=1.6

x=1.6/9=16/90
x=8/45