Answer :

[tex]\hbox{ So, 0.7 repea.ting is 0.(7)}[/tex]

[tex]0.(7)= \boxed{\frac{7}{9} }[/tex]
[tex]x=0.\overline{7}\\ 10x=7.\overline{7}\\ 10x-x=7.\overline{7}-0.\overline{7}\\ 9x=7\\ x=\dfrac{7}{9} [/tex]

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