Question

What is the simplest form of the fraction that represents 0.49494949?

4/9
49/99
99/49
49/9

Answer 1

49/99 is the correct answer. The other choices either aren't proper fractions or don't equal .49 repeating.

Answer 2

Answer: The correct option is (B)
`(49)/(99).`

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

`x=0.49494949~.~.~.\\\\\Rightarrow 100* x=100* 0.49494949~.~.~.\\\\\Rightarrow 100x=49.49494949~.~.~.\\\\\Rightarrow 100x=49+0.49494949~.~.~.\\\\\Rightarrow 100x=49+x\\\\\Rightarrow 100x-x=49\\\\\Rightarrow 99x=49\\\\\Rightarrow x=(49)/(99).`

Thus, the simplest form of the given number is
`(49)/(99).`

Option (B) is CORRECT.