Question

How can you show that 1.272727...in the form p/q,where p and q are integers and qis not equal to 0?

Answer 1

1272727.. / 1000000..

Answer 2

Let x = 1.2727.....                                          (1)

Multiply 100 both side

100x =  127.27.......                                            (2)

subtracting equation 2 from 1st

100x - x = 127.27.....- 1.2727
 
99x =  128

x = 128/99