Question

express 3.423(bar on 423)is in the form p/q, where p and q are integers and q not equal to 0.

Answer 1

let
x=3.423(bar on 432)
multiplying it by 1000 we get
10x=3423.432(bar on 432)
subtracting the equations we get

10x=3423.432(bar on 432)
-x=3.423(bar on 432)
9x=3420
x=3420/9
x=1140/3

Answer 2

HOLA MATE
HERE'S YOUR ANSWER

$let \:x = 3.423423423............. 1 \\ now \: mutiplying \:both \: side \: by \: 1000 \\ 1000x = 3423.423423423......... 2\\ now \: subtracting \: equation \:2 \: from1 \\ 1000x = 3423.423423........... \\ x \: \: \: \: \: \: \: \: \: = \: \: \: \: \: \: 3.423423............ \\ 99x = 3420.000000............ \\ x = 3420 \div 99 \\ \\ x = 112/ 33$
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