Math, asked by vanshjain8, 4 days ago

Express 0.2353535.... in fraction​

Answers

Answered by Anglemuskan31
11

Step-by-step explanation:

\huge\fbox\color{pink} Solution

0.2353535... is a non-terminating but repeating decimal, it is denoted by 0.2¯35 0.2 35 ¯ . Therefore, 0.2353535... = 0.235... = 233/99 can be expressed in the rational form.

Answered by DevilishAngel
72

Solution -

Let 0.2353535.... be x

Since two digits are repeating, we multiply x by 100 to get...

100x = 23.53535... \\ 100x = 23.3 + 0.23535.... \\  = 23.3 + x \\ 99x = 23.3 \\ 99x =  \frac{233}{10}  \\  =  \frac{233}{990}

Therefore if we write 0.2353535.... in fraction form then Answer will be  \frac{233}{990}

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