Question

show that 1.2727272... can be expressed in the form of P/Q where p and q are integers and q is not equal to 0

Answer 1

Let,
x = 1.272727
here two digits are repeating so we will multiply both sides by 100
100x = 127.27

Now subtract both sides
100x - x = 127.27 - 1.27
99x = 126
x = 126 / 99
14 / 11

Answer 2

Answer:

14/11

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