Question

express the following in the form p/q, where p and q are integers and q is not equal to 0 0.001 bar

Answer 1

       _______
0.    001
let x be 0.001
x=0.001001001....... - eqn-1
1*1000= 1000x= 1.001001001.....-eqn 2
eqn 2 - eqn 1= 999x = 0.001001001-1.001001001
= 999x= 1
x= 1/999

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Answer 2

Let x be 0.001
=x = 0.001 (1st equation) bar ko hata do
=x = 0.001001001 (2nd equation)
Multiply 1000 by both sides
1000x=0.001001001/1000×1000
1000x=1.001001001
1000x= 1+0.001001001
Then subtract eq 1 and eq 2
1000x-x= 1 + 0.001001001 - 0.001001001
999x = 1
x= 1/999
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