Express 2.54343434.......... as a rational number
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x=2.54343434...
100x=254.343434... ---(eq1)
10000x=25434.34... ---(eq2)
subtracting eq1 from eq2 , we get :
(10000-100)x=(25434.34...)-(254.34...)
9900x=25180
x=(25180)/9900
x=1259/495
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