Math, asked by nik5322, 9 months ago

exprees the following p and q where p and q not equal to 0.255555......​

Answers

Answered by Anonymous
4

hope it helps you mate...

Attachments:
Answered by Mihir1001
1
\Huge\green{\underline{\fbox{\red{0.2{\overline{5}}}\orange{ = } \blue{ \frac{23}{90} }}}}

We have : \blue{0.25555555........} = \blue{0.2{\overline{5}}}

let x = 0.2{\overline{5}}

 \implies 10x = 2.{\overline{5}}———–( 1 )

 \implies 100x = 25.{\overline{5}}——( 2 )


On subtracting equation ( 1 ) from equation ( 2 ) , we get :

 \longmapsto 100x - 10x = 25.{\overline{5}} - 2.{\overline{5}}

 \Rightarrow (100 - 10)x = (25 - 2)

 \Rightarrow 90x = 23

 \Rightarrow x = \Large{ \frac{23}{90} }
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