Question

express 3.423 bar (bar is only for 2 and 3) in the form of p/q where p and q are integers and q is not equal to 0.

Answer 1

it's easy
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let x=3.423 - (1)

multiply x by 100
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100x= 342.323 - (2)

now subtract equation 1 from equation 2
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100x-x=342.323 - 3.423

99x= 338.9 (23 bar canceled 23 bar)
x = 338.9÷99
x= 3389÷990................. __
x was also equal to 3.423 so we have
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expressed 3.423 in p by q form that is 3389÷990

note that the dots ............
are not a part of answer they are just for convinence to write the bar on the number s