Math, asked by abhijitha672007, 4 months ago

what is the value of 2.23 bar​

Answers

Answered by jangidsaloni213
3

Answer:

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Answered by pulakmath007
1

\displaystyle \bf{ 2. \overline{23} =  \frac{221}{99} }

Given :

\displaystyle \sf{ The  \: number  \:  \: 2. \overline{23} }

To find :

The value of the number

Solution :

Step 1 of 2 :

Write down the given number

The given number is \displaystyle \sf{ 2. \overline{23} }

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

\displaystyle \sf{ Let  \:  \: x = 2. \overline{23} }

Then x = 2.232323... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 223.232323... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 221

\displaystyle \sf{ \implies x =  \frac{221}{99} }

\displaystyle \sf{ \therefore \:  \:  2. \overline{23} =  \frac{221}{99}}

Which is of the form p/q where p , q are integers and q ≠ 0

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