Question

Express 23.426(bar on 426) in the form of p q

Answer 1

Heya dear :) ,
here is your answer

let us take x = 23.426426........( 23.436 bar on 436)

then 10x = 23.426426.... × 10
= 234.264264.......( 234.264 bar on 264)

100x = 23.426426.... × 100
= 2342.642642......( 2342.642 bar on 642 )

1000x = 23.426426.....× 1000
= 23426.426426.....( 23426.426 bar on 426 )

so wlhere we got that x and 100x has same value after the decimal point that is 426426.... or bar on 426

So, if we will subtract them

1000x - x = 23426.426426....... - 23.426426....

=> 999x = 23403

=> x = 23403/999 = 7801/333

Hence 23.426 bar on 426 in p/q form is 7801/333.



HOPE THIS WILL HELP YOU

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Answer 2

Answer:

Hey!! there is your answer.

To solve:- 23.426426.... in form of p/q

Let's take 23.426426.... equal to x

x=23.426426..... (equation 1)

Multiply 1000 both side

1000x =23426.426.....(equation 2)

Solving both equation.

1000x - x= 23426.426.... - 23.426

999x =23403

x=23403/999

therefore it is in the form of p/q

hope this will help you!!