The value of 2.1overline{36} is | vedclass

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(C) Let $x = 2.1\overline{36}$.This can be written as $x = 2 + 0.1\overline{36}$.Let $y = 0.1\overline{36} = 0.1363636...$Multiplying by $10$,we get $

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$2\frac{3}{22}$

Vedclass · Answer

(C) Let $x = 2.1\overline{36}$.This can be written as $x = 2 + 0.1\overline{36}$.Let $y = 0.1\overline{36} = 0.1363636...$Multiplying by $10$,we get $10y = 1.363636...$Multiplying by $1000$,we get $1000y = 136.363636...$Subtracting the two equations: $1000y - 10y = 136.3636... - 1.3636...$$990y = 135$$y = \frac{135}{990} = \frac{27}{198} = \frac{3}{22}$.Therefore,$x = 2 + \frac{3}{22} = 2\frac{3}{22}$.

The value of $2.1\overline{36}$ is

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