The fraction equivalent to 0.474747… is:

Correct option is D

​​Given:

The repeating decimal number is given as 0.474747...

Formula Used:

To convert a repeating decimal into a fraction, we use the following approach:
1. Represent the repeating decimal as x.
2. Multiply x by an appropriate power of 10 to shift the repeating part.
3. Subtract the original equation from the shifted equation to eliminate the repeating part.
4. Solve for x to find the fractional equivalent.

Solution:

Let x = 0.474747...
Since the repeating part is '47', multiply x by 100:
100x = 47.474747...  

100x = 47+ 0.474774...

100x = 47 + x 

99x = 47 

x = $$\frac{47}{99}$$​​
Now, subtract the original equation from this equation:
Thus, the fraction equivalent to $$0.474747... is\ \frac{47}{99}$$​​