Question

Express 2.35 bar in the form of p by q

Answer 1

$\text{ Let 2.}\bar{ 35} \: \text{be x }$


As there are two number under the bar, multiply by 100 on both sides,


$2. \bar 35 \times 100 = x \times 100 \\ \\ 235. \bar35 = 100x$


Now, subtract x from both the sides,


$235. \bar35 = 100x \\ - 2. \bar35 \: = \: \: - x \\ - - - - - - - \\ 233 = 99x \\ - - - - - - - \\ \\ \\ \frac{233}{99} = x \\ \\ \\ \frac{233}{99} = 2. \bar{35}$



Therefore, the value of 2.35bar in p/q form is 233 / 99

Answer 2

$<i><b>Hi !<i><b>$

Here is your answer !!

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Let x = 2.$\bar{35}$

=> 100x = 235.$\bar{35}$

=> x = 2.$\bar{35}$

Subtracting x from 100x , We get

=> 99x = 233

=> x = 233/99

Ans ) 2.$\bar{35}$ = 233/99

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Thanks !!