Question

express 0.23 bar in the form of p/q

Answer 1

Answer:

23/100

Step-by-step explanation:

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Answer 2

➲QUESTION :

• Express in p/q form : $\sf {0.\bar2 \bar3}$.

☯ GIVEN :

• $\bf {0. \bar2 \bar3}$ .

☯ TO FIND :

• p/q form of $\bf {0. \bar2 \bar3}$ .

➲SOLUTION :

Let

• $\tt{x = 0. \bar2 \bar3\: \: \:eq (1)}$

By Multiplying 100 in eq(1) on both sides :

• $\tt{100x = 23. \bar2 \bar3\: \: \:eq (2)}$

By subtracting eq (1) from eq (2) :

$\implies{ \sf{100x -x = 23.\bar2 \bar3 -0.\bar2 \bar3 }}$

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

$\implies\underline {\pink{\boxed { \bf{ x=\dfrac{23}{99} }}}}$

$\huge {\red{\therefore}}$ p/q form of $\sf {0. \bar2 \bar3}$= $\bf{\dfrac{23}{99}}$.