Express 0.0272727.. in the form of p/q
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let N = 0.0272727... -----1 st equation
now multiply by 10000 both sides
10000N = 272.7272727272.....----2nd equation
now 2nd equation - 1st equation
9999N = 272.7
N = 2727/99990
N = 909/33330
N = 303/11110
N = 3/110
thus 0.0272727.... = 3/110
now multiply by 10000 both sides
10000N = 272.7272727272.....----2nd equation
now 2nd equation - 1st equation
9999N = 272.7
N = 2727/99990
N = 909/33330
N = 303/11110
N = 3/110
thus 0.0272727.... = 3/110
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