Question

Express a) 0.626262... b) 0.62222.... in the p/q form.

Answer 1

$\huge \bf \black{QUESTION :-}$

Express

• 0.62 bar
• 0.622 bar in the p/q form.

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A.) 0.62 bar..

x = 0.62 bar............... ① .

Then,

10x = 6.26................②.

100x = 62.62.............③.

SUBTRACTING EQ. ② from ③...

WE GET,

100x - 10x = 62.62 - 6.26

90x = 56.36

x =

$\frac{56.36}{90}$

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B.) 0.62

_

x = 0.62............①.

10x = 6.22...........②.

100x = 62.22...........③.

SUBTRACTING EQ. ③ from ②.

WE GET,

100x - 10x = 62.22 - 6.22

90x = 56.

x =

$\frac{56}{90}$

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Answer 2

Answer:

Step-by-step explanation:

let 1.4191919....=x

⟹14.191919....=10x

⟹1419.191919....=1000x

1000x−10x=1419.191919....−14.191919....

990x=1405

⟹x=  

990

1405

​  

=  

198

281

​