1.

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

Answer»

ong>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}


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