Question

Express 0.1232323....... in p/q form.

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Answer 1

Answer:

0.123232323...=x(let)

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Multiplying with 10 on both sides;

1.232323...=10x...............(1st eq.ⁿ)

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Now, multiplying both sides by 100;

123.232323...=1000x......(2nd eq.ⁿ)

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Subtracting eq.ⁿ (1) from (2);

123.23..–1.23...=1000x–10x

122=990x

$x = \frac{122}{990}$