0.232323 Is Also Written In The Form Of?

0.232323 is also written in the form of?

1/5
23/99
23/100
None of these

Explanation

$0.232323 . . . . = 0 . \overline{23}$
Let $x = 0 . \overline{23}$ ---- ( 1 )
Multiplying both sides by $100$ we get,
$\Rightarrow$    $100 x = 23 . \overline{23}$ ---- ( 2 )
Subtracting ( 1 ) from ( 2 ) we get,
$\Rightarrow$    $100 x - x = 23 . \overline{23} - 0 . \overline{23}$
$\Rightarrow$    $99 x = 23$
$∴$    $x = \frac{2 3}{9 9}$
$∴$ Required fraction is $\frac{2 3}{9 9} .$

Related MCQs

A password contains 1 integer, 1 letter, and 1 symbol. If there are 5 integers, 3 letters, and 2 symbols, how many passwords are possible?

170
180
190
None of these

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Explanation

The password must contain:

1 integer: 5 choices
1 letter: 3 choices
1 symbol: 2 choices

First select one from each category:

5 \times 3 \times 2 = 30

Now, these 3 selected characters can be arranged in different orders:

3! = 3 \times 2 \times 1 = 6

Therefore:

A fair coin is tossed once. What is the probability of getting a head?

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A bag contains 1 white, 2 yellow, and 3 red balls. What is the probability of selecting a red ball?

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There are 10 red balls, 4 white balls, and 15 black balls. If 1 red ball is removed, how many red balls are left?

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0.232323 is also written in the form of?

Explanation

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0.232323 is also written in the form of?

Explanation

0.232323....=0.23Let x=0.23 ---- ( 1 )Multiplying both sides by 100 we get,⇒ 100x=23.23 ---- ( 2 )Subtracting ( 1 ) from ( 2 ) we get,⇒ 100x−x=23.23−0.23⇒ 99x=23∴ x=9923​∴ Required fraction is 9923​.

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