Question

express 1.363636.... in the form of p/q​

Answer 1

Step-by-step explanation:

The required form is 1.363636.....=\frac{15}{11}1.363636.....=

11

15

Step-by-step explanation:

Given : Expression 1.363636.....

To find : Express expression in p/q form where p and q are integers and q not equals to zero ?

Solution :

Let x=1.363636.....x=1.363636..... ......(1)

Multiply both side by 100,

100x=136.363636...100x=136.363636... .....(2)

Subtract (1) from (2),

100x-x=(136.363636..)-(1.363636......)100x−x=(136.363636..)−(1.363636......)

99x=13599x=135

x=\frac{135}{99}x=

99

135

x=\frac{15}{11}x=

11

15

Therefore, 1.363636.....=\frac{15}{11}1.363636.....=

11

15

Answer 2

x=1.3636
100x=136.3636

100x-x=136.3636-1.3636
99x=135
x=135/99
x=15/11