Question

Example 8 : Show that 1.272727... = 1.27 can be expressed in the form where
р
q
and q are integers and q +0.​

Answer 1

Answer:

1.272727..=

$\frac{126}{99}$

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

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