Question

.Show that 1.27272727....... can be expressed in the form of p/q , where p and q are
integers and q is not = 0 .

Answer 1

Answer:

1.272727......,

Let x=1.272727...----(1)

periodicity=2

so, multiply with 100 on both sides

100x=1.272727......x100

100x=127.272727...-----(2)

(2)-(1)

100x=127.272727.....

x= 1.272727....

-----------------------------6

99x=126.000000...

99x=126

x=126/99

x=14/11

Therefore, 1.2727...in the p/q form is 14/11

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