Question

Express 3.27272727.............. in the form of fractions

Answer 1

hope this helps you. I did it step by step so u can understand how the answer came

Answer 2

$\textbf{Answer :}$

Let, x = 3.272727...

Then, 100x = 327.272727...

So, 100x - x = 327.2727... - 3.2727...

Or, 99x = 324

Or, x = 324/99

Or, x = 36/11

So, 3.272727... = 36/11 [in the form of a fraction]

Again,

let, x = 0.474747...

So, 100x = 47.474747...

Then, 100x - x = 47.4747... - 0.4747...

or, 99x = 47

or, x = 47/99

Hence, 0.474747... = 47/99 [in the form of a fraction]

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