Question

express 0.838383.... in the form of p upon 2 where p and are integers and 2+0​

Answer 1

Answer:

83/99

Step-by-step explanation:

Let a = 0.838383....

This can be written as 0.83 bar.

= > a = 0.83 bar ... (1)

Multiply both sides by 100:

= > 100a = 83.83 bar ... (2)

Subtract (1) from (2)

100a = 83.83 bar

- a = - 0.83 bar

99a = 83 { bar cancelled }

= > 99a = 83

= > a = 83/99

= > 0.838383... = 83/99