Question

show that 1.272727......... can be expressed in the form p/q where p and q are integers and q is not equal to 0


​

Answer 1

Let

x = 1.272727... (1)

Multiply (1) by 100

100x = 127.272727.... (2)

Subtract (1) from (2)

==> 100x - x = 127 - 1

==> 99x = 126

==> 33x = 42

==> 11x = 14

==> x = 14/11

Answer 2

Answer:

Step-by-step explanation:

1.272727---

=1.27bar

1+0.27bar

=1+27/99

=1+3/11

=14/11