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

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Answer 1 · 2017-09-27T17:19:47

#8/45#

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#