Answer: The correct option is (B) [tex]\dfrac{49}{99}.[/tex]
Step-by-step explanation: We are given to find the simplest form of the fraction that represents 0.4949494949 . . . .
Let x represents the given number 0.4949494949 . . . .
That is
[tex]x=0.49494949~.~.~.\\\\\Rightarrow 100\times x=100\times 0.49494949~.~.~.\\\\\Rightarrow 100x=49.49494949~.~.~.\\\\\Rightarrow 100x=49+0.49494949~.~.~.\\\\\Rightarrow 100x=49+x\\\\\Rightarrow 100x-x=49\\\\\Rightarrow 99x=49\\\\\Rightarrow x=\dfrac{49}{99}.[/tex]
Thus, the simplest form of the given number is [tex]\dfrac{49}{99}.[/tex]
Option (B) is CORRECT.
