Question

Express 1.27 bar on 27 in the form of p/q, where p and q are integers and q is not equal to 0

Answer 1

Answer:

1.27272727.....................................$=\frac{126}{99}$

Step-by-step explanation:

Concept:

A number of the form p/q , where p and q are integers and q not equal to zero is called rational number.

Any rational number can be written as

a terminating decimal expansion or non-terminating decimal expansion.

Let

x=1.272727272727...............(1)

Multiply both sides by 100

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

subtract (1) from (2)

100x - x = 126

99x = 126

$x=\frac{126}{99}$

Answer 2

Answer:

p/q = 14/11

Step-by-step explanation:

Express 1.27 bar on 27 in the form of p/q, where p and q are integers and q is not equal to 0

Let say

x = p/q

x = 1.2727272727.....

100x = 127.2727272727...

100x -x  = 127.2727272727...  -  1.2727272727.....

=>99x = 126

=> x = 126/99

Dividing Numerator & Denominator by 9

=> x = 14/11

p/q = 14/11