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9 बार को P/Q के रूप में लिखो।

June 4, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{1}{1}

4 steps

Let $x$ be the given repeating decimal.
$x = 0.\overline{9}$
This means $x = 0.9999...$
Multiply both sides of the equation by 10, since one digit is repeating.
$10x = 9.9999...$
Subtract the original equation ( $x = 0.9999...$ ) from the new equation ( $10x = 9.9999...$ ).
$10x - x = 9.9999... - 0.9999...$ $9x = 9$
Solve for $x$ .
$x = \frac{9}{9}$ $x = 1$
The decimal $0.\overline{9}$ can be written as $\frac{1}{1}$ in the form $\frac{P}{Q}$ .

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