Question

express in p/q form 0.25555bar

Answer 1

$\huge\bf{HEY \: FRIENDS!!}$


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$\huge \bf \underline{Here \: is \: your \: answer↓}$



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$\huge \boxed{Express \: in \: \frac{p}{q} \: form:-)}$


$\huge \boxed{= 0.25bar.}$


$\bf{Let \: x = 0.2555...........(1)}$

$\boxed{Multiply \: both \: side \: by \: 10.}$


$\bf{=> 10 × x = 10 × 0.2555...}$

$\bf \: => 10x = 2.555...........(2).$

$\boxed{Once \: again, multiply \: both \: side \: by \: 10.}$


$\bf \: => 10 × 10x = 10 × 2.555...$


$\bf{=> 100x = 25.555.........(3).}$

$\boxed{Substract \: in \: equation \: (3) \: and \: (2).}$

$\bf{=> 100x - 10x = 25.555 - 2.555.}$

$\bf{=> 90x = 23.}$

$\huge \bf{ = > x = \frac{23}{90}.}$


✅✅ Hence, it is converted into p/q form ✔✔.



$\huge \boxed{THANKS}$


$\huge \bf \underline{Hope \: it \: is \: helpful \: for \: you}$

Answer 2

$\huge \bf{hey}$


$\huge \underline{here \: is \: the \: answer}$
⤵⬇⏬


$\huge{express \: in \: the \: form \: \frac{p}{q} }$

▶
$\huge{0.25555bar}$

$\bf{let \: x = 0.2555....}$
$\underline{equation \: no1}$

$\boxed{both \: side \: multiply \: by10}$
▶
$\bf{10x = 2.555}$
$\underline{equation \: no \: 2}$
$\boxed{ \: both \: side \: multiply \: by \: 10}$
▶
$\bf{100x = 25.555}$
$\underline{equation \: no3}$
$\boxed{sub \: eq \: 2 and \: 3}$
$\bf{90x = 23}$
$\huge \bf{ \: hence \:x = \frac{23}{90} }$
$\huge{hope \: it \: helps}$

$\huge{thanks}$