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Question Number 12861 by Gauri last updated on 04/May/17

$$change0.35\stackrel{-}{6}intop/qform$$$$$$

Answered by mrW1 last updated on 04/May/17

$$x=0.35\overline{6}=0.356666666......$$$$100x=35.66666666...=35+0.66666...$$$$y=0.666666...$$$$10y=6+0.666666...=6+y$$$$9y=6$$$$y=\frac{6}{9}=\frac{2}{3}$$$$\Rightarrow 100x=35+\frac{2}{3}=\frac{107}{3}$$$$\Rightarrow 0.35\bar{6}=x=\frac{107}{300}$$

Answered by ajfour last updated on 04/May/17

$$x=0.35\overline{6}$$$$10x=3.5\overline{6}=3.56\overline{6}$$$$9x=3.21=\frac{321}{100}$$$$3x=\frac{107}{100}\Rightarrow x=\frac{107}{300}.$$

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