Answer:
Step-by-step explanation:
Given that the decimal 0.3 (repeating) represents [tex]\frac{1}{3}[/tex]
We are to find out the value 0.9(repeating) using the above.
Since [tex]0.9999... = 3 (0.3333...)\\0.9999... = 3(\frac{1}{3} ) =1[/tex]
We can solve this using the other method also
Let
[tex]x = 0.9999....\\\\ 10x = 9.9999....\\--------------------\\9x = 9\\x=1[/tex]
We get the same answer under both the methods.
