The value of $1. ¯ 3$ is equal to

\frac{3}{4}

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\frac{2}{3}

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\frac{4}{3}

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\frac{2}{5}

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Solution

The correct option is C $\frac{4}{3}$
1. $¯ 3 = 1.33333333.....$

Let $x = 1.3333333........$ ................ $(1)$

Multiply the equation by $10,$ we get
$10 x = 13.33333........$ .............. $(2)$

Subtracting equation $(1)$ from equation $(2),$

$9 x = 12$

$∴ x = \frac{12}{9}$

$x = \frac{4}{3}$

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