Question

Express As a fraction 0.232323...............​

Answer 1

Answer:

0.2323....... 23/99

Step by step explanation:

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Answer 2

$\displaystyle \sf{0.232323...... = \bf \frac{23}{99} }$

Given :

The number 0.232323......

To find :

To express as fraction

Solution :

Step 1 of 2 :

Write down the given number

The given number is 0.232323......

Step 2 of 2 :

Express in the fraction form

Let x = 0.232323...... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 23.232323...... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 23

$\displaystyle \sf{ \implies x = \frac{23}{99} }$

$\displaystyle \sf{ \therefore \: \: 0.232323...... = \frac{23}{99} }$

Which is of fraction form

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