Express 1.25252525... in form p/q
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let us assume x=1.2525...........____1
here periodicity is 2 so multiply equation 1 by 100 on both sides we get
100x=125.00000____2
equation 2-equation 1
100x=125.00000......
-x = 1.2525........
99x = 123.747475.....
x= 123.747475/99
p/q form of 1.252525.... is 123.7474.../99
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