Question 31

Find the value of $$0.1\overline{8}$$

Solution

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Let say, x =$$0.\overline{8}.$$

So, $$10x=8+0.\overline{8}=8+x.$$

or,$$9x=8.$$

or,$$x=\frac{8}{9}.$$

So, $$0.1\overline{8}=0.10+\frac{8}{90}=\frac{1}{10}+\frac{8}{90}=\frac{9+8}{90}=\frac{17}{90}.$$

A is correct choice.

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