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how to write -0.7 repeating as a fraction?

Sagot :

[tex]x=0.\overline{7}\ \ \ \ \ |multiply\ both\ sides\ by\ 10\\\\10x=7.\overline{7}\\\\10x-x=7.\overline{7}-0.\overline{7}\\\\9x=7\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\x=\frac{7}{9}\\\\Answer:\boxed{0.\overline{7}=\frac{7}{9}}[/tex]


[tex]other:\\\\We\ know:0.\overline{1}=\frac{1}{9}\ then\ 0.\overline{7}=\frac{7}{9}[/tex]
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