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convert 0.13 bar on 13, into p/q form?

 

subtracting (1) from (2) , we get 

99 x = 13 ⇒ x = 13 / 99

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 Considering the bar is above 13, [I have shown bar using '... ' ]

x = 0. '13 ' EQUATION 1

EQUATION 1 * 100

100x = 13. '13 ' EQUATION 2

EQUATION 2 - EQUATION 1

=> 100x- x = 13. '13 ' - 0. '13 '

=> 99x= 13

=> x= 13/99

Answer : x= 13/99

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C onsidering the bar is above 13, [I have shown bar using '... ' ]

x = 0. '13 ' EQUATION 1

EQUATION 1 * 100

100x = 13. '13 ' EQUATION 2

EQUATION 2 - EQUATION 1

=> 100x- x = 13. '13 ' - 0. '13 '

=> 99x= 13

=> x= 13/99

Answer : x= 13/99

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