Question

express 0.1636363...in p/q form

Answer 1

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Let x be 0.163 ( bar on 63 )

x = 0.1636363.... ( i )

Multiplying 10 to both sides :

10x = 1.636363.... ( ii )

Multiplying 100 to both sides :

1000x = 163.636363..... ( iii )

Eq ( iii ) - ( ii )

1000x - 10x = 163.63 ( bar on 63 ) - 1.63 (bar 63)

990 x = 162

x = 162/990

Hence , 0.1636363.... can be written as 162/990 in p/q form.

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Answer 2

Answer:

Step-by-step explanation:

Let x=1.27272727...

⇒100x=127.2727....

we subtract 100x−x we will get,  

⇒100x−x=127.2727−1.272727

⇒99x=126.000

∴x=  

99

126

​  

=  

11

14