Answer :
[tex]\hbox{ So, 0.7 repea.ting is 0.(7)}[/tex]
[tex]0.(7)= \boxed{\frac{7}{9} }[/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]