Express in p/q form given below

1.	Express in p/q form given below
Answer» rong>➲QUESTION : Express in p/q form : $\sf2.44 \bar{3} \bar{1}$ ☯ GIVEN : $\bf {<klux>2</klux>.44 \bar 3 \bar 1}$ . ☯ TO FIND : p/q form of $\bf {2.44 \bar3 \bar1}$ . ➲SOLUTION : Let $\tt{x = 2.44 \bar 3 \bar 1\: \: \:<klux>EQ</klux> (1)}$ By Multiplying 100 in eq(1) on both sides : $\tt{100x = 244 .\bar 3 \bar 1\: \: \: eq(2)}$ By Multiplying 100 in EQUATION (2) on both sides : $\tt{10000x = 244 31.\bar3 \bar 1\: \: \: eq(3)}$ By subtracting equation (2) from equation (3) : $\implies{ \sf{10000x -100x = 244 31.\bar3 \bar1 - 244 .\bar 3 \bar1 }} \\ \\$ $\implies{ \sf{9900 x = 24187}} \\ \\$ $\implies\underline {\pink{\boxed { \bf{ x= {\dfrac{24187}{9900} }}}}}$ $\huge {\green{\therefore}}$ p/q form of $\sf {2.44 \bar3 \bar1}$ = $\bf{\dfrac{24187}{9900}}$

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rong>➲QUESTION :