Question

The value of 0.234 is​

Answer 1

I hope It will help you.

Answer 2

The value of given number is $\dfrac{116}{495}$.

Step-by-step explanation:

The given number is

$0.2\overline{34}$

We need to find the value of given expression.

Let $x=0.2\overline{34}$.

$x=0.2343434...$          .... (1)

Multiply both sides by 10.

$10x=2.343434...$          .... (2)

Multiply both sides by 1000.

$1000x=234.343434...$       ... (3)

Subtract equation (2) from equation (3).

$1000x-10x=234.343434...-2.343434...$

$990x=232$

Divide both sides by 990.

$x=\dfrac{232}{990}$

$x=\dfrac{116}{495}$

Therefore, the value of given number is $\dfrac{116}{495}$.

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