express 0.4323232... bar on 32
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0.4323232.......
let x= 0.432323232...... equation 1
x*10=0.4323232.....*10
=10x=4.323232............ eq2
10x*100=4.323232...*100. 10
1000x= 432.323232.............. eq 3
eq3-eq2
=1000x-10x=432.323232...-4.32323232...
=990x=428
=x=428/990
=x=214/495 ( ans)
Hope this helps
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