prove that 0.2353535 can be written in the form of p/q andpand q are integers and q isnot equal to 0
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0.2353535
2353535/10000000
2353535/10000000
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0
let x=0.235235. (1)
multiply digits by both sides
10x=2.352352 (2)
100x=23.523523. (3)
1000x=235.235235. (4)
subtracting from (4) and (1)
1000x-x=235.235235-0.235235
999x=235
x=235/999
multiply digits by both sides
10x=2.352352 (2)
100x=23.523523. (3)
1000x=235.235235. (4)
subtracting from (4) and (1)
1000x-x=235.235235-0.235235
999x=235
x=235/999
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