odianw6150 odianw6150
  • 23-06-2018
  • Mathematics
contestada

Express 3.72727272727... as a rational number, in the form pq

Respuesta :

VictorZ
VictorZ VictorZ
  • 23-06-2018
Hi there!

Let x = 3. 72727.... ---(i)

Multiply 100 in eqn. (i)

100x = 372. 72727... ---(ii)

Subtract Eqn. (i) from (ii)

100x - x = 372. 7272... - 3. 7272...

99x = 369

x = [tex]\dfrac {369}{99}[/tex]

x = [tex]\dfrac {41}{11}[/tex]

Hence, [tex]\dfrac {41}{11}[/tex] is th' required p-q form.


~ Hope it helps!
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