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Express as a common fraction the reciprocal of $$0.\overline{81}$$

May 15, 2022

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Express as a common fraction the reciprocal of $$0.\overline{81}$$

Hello Guest!

$$x=0.\overline{81}\\ 100x=81.\overline{81}\\ 99x=81\\ x=\dfrac{9}{11}$$

$$\color{blue}0.\overline{81}=\dfrac{9}{11}$$

!

May 15, 2022